Question: Calculate the mean and standard deviation of

> The random variable in Exercise 7.30 was the number of stores entered by customers at a mall. Suppose that the random variable is Poisson distributed with a mean of 4. a. What proportion of mall customers enter 5 stores or more? b. Compute the probabilit

> At an auction of antique furniture a statistician kept track of the number of bids for each item. After an analysis of the figures she concludes that the number of bids is Poisson distributed with a mean of 2.5. a. Calculate the probability that on any i

> Flaws in a carpet tend to occur randomly and independently at a rate of one every 200 square feet. What is the probability that a carpet that is 8 feet by 10 feet contains no flaws?

> The number of bank robberies that occur in a large North American city is Poisson distributed with a mean of 1.8 per day. Find the probabilities of the following events. a. Three or more bank robberies in a day. b. Between 10 and 15 (inclusive) robberies

> In older cities across North America, infrastructure is deteriorating, including water lines that supply homes and businesses. A report to the Toronto city council stated that there are on average 30 water line breaks per 100 kilometers per year in the c

> Hits on a personal website occur quite infrequently. They occur randomly and independently with an average of five per week. a. Find the probability that the site gets 10 or more hits in a week. b. Determine the probability that the site gets 20 or more

> The number of students who seek assistance with their statistics assignments is Poisson distributed with a mean of two per day. a. What is the probability that no students seek assistance tomorrow? b. Find the probability that 10 students seek assistance

> Snowfalls occur randomly and independently over the course of winter in a Minnesota city. The average is one snowfall every 3 days. a. What is the probability of five snowfalls in 2 weeks? b. Find the probability of a snowfall today.

> Let X be the random variable designating the number of spots that turn up when a balanced die is rolled. What is the probability distribution of X?

> The number of accidents that occur at a busy intersection is Poisson distributed with a mean of 3.5 per week. Find the probability of the following events. a. No accidents in one week b. Five or more accidents in one week c. One accident today

> Given that X is a Poisson random variable with = .5, use the formula to determine the following probabilities. a. P(X = 0) b. P(X = 1) c. P(X = 2)

> Given a Poisson random variable with  = 2, use the formula to find the following probabilities. a. P(X = 0) b. P(X = 3) c. P(X = 5)

> In a recent Gallup poll 53% of American adults believed that Congress is doing a poor or bad job. Suppose that you randomly choose 100 American adults and ask their opinion about Congress. a. Determine the probability that more than half say that Congres

> The statistics practitioner in Exercise 7.116 also determined that if a batter hits a line drive, the probability of an out is 23%. Determine the following probabilities. a. In a game with 10 line drives, at least 5 are outs. b. In a game with 25 line dr

> In a Bon Appetit poll, 38% of people said that chocolate was their favorite flavor of ice cream. A sample of 20 people was asked to name their favorite flavor of ice cream. What is the probability that half or more of them prefer chocolate?

> According to a Gallup Poll 52% of American adults think that protecting the environment should be given priority over developing U.S. energy supplies. Thirty-six percent think that developing energy supplies is more important, and 6% believe the two are

> In the game of roulette, a steel ball is rolled onto a wheel that contains 18 red, 18 black, and 2 green slots. If the ball is rolled 25 times, find the probabilities of the following events. a. The ball falls into the green slots two or more times. b. T

> Researchers have developed statistical models based on financial ratios that predict whether a company will go bankrupt over the next 12 months. In a test of one such model, the model correctly predicted the bankruptcy of 85% of firms that did in fact fa

> The owner of an appliance store is interested in the relationship between the price at which an item is sold (regular or sale price) and the customer’s decision on whether to purchase an extended warranty. After analyzing her records, s

> Determine whether each of the following is a valid probability distribution. a. x 0 1 2 3 P(x) .1 .3 .4 .1 b. x 5 −6 10 0 P(x) .01 .01 .01 .97 c. x 14 12 −7 13 P(x) .25 .46 .04 .24

> In the game of blackjack as played in casinos in Las Vegas, Atlantic City, and Niagara Falls, as well as in many other cities, the dealer has the advantage. Most players do not play very well. As a result, the probability that the average player wins a h

> The probability of winning a game of craps (a dicethrowing game played in casinos) is 244/495. a. What is the probability of winning 5 or more times in 10 games? b. What is the probability of winning in 50 or more times in 100 games?

> According to a recent Gallop poll only 29% of American adults said they were satisfied with the way things are going in the United States. Suppose you randomly select 10 American adults and ask each whether they are satisfied with the way things are goin

> In a recent survey the Pew Research Center asked graduates of private universities whether they were satisfied with their current job and 72% said they were. Suppose you take a sample of four private university graduates and ask each whether they are sat

> A statistics practitioner working for major league baseball determined the probability that the hitter will be out on ground balls is .75. In a game where there are 20 ground balls, find the probability that all of them were outs.

> Dermatologists strongly recommend that people who are exposed to sunlight should either be covered up or put on sunscreen. Suppose that at a Florida condominium pool only a quarter of residents sit around the pool in the sun with no sunscreen. a. What is

> According to a Pew Research Center survey 30% of graduates who had student loans are delinquent (90 or more days behind in their payments. Suppose that a survey of 10 such graduates is taken. a. What is the probability that 3 are delinquent? b. What is t

> According to a Gallup poll 27% of American adults have confidence in banks. Suppose that you interview 5 Americans adults at random. a. What is the probability that 2 or fewer have confidence in banks? b. What is the probability that no one had confidenc

> A student majoring in accounting is trying to decide on the number of firms to which he should apply. Given his work experience and grades, he can expect to receive a job offer from 70% of the firms to which he applies. The student decides to apply to on

> The effect of an antidepressant drug varies from person to person. Suppose that the drug is effective on 80% of women and 65% of men. It is known that 66% of the people who take the drug are women. What is the probability that the drug is effective?

> A certain type of tomato seed germinates 90% of the time. A backyard farmer planted 25 seeds. a. What is the probability that exactly 20 germinate? b. What is the probability that 20 or more germinate? c. What is the probability that 24 or fewer germinat

> A construction company has bid on two contracts. The probability of winning contract A is .3. If the company wins contract A, then the probability of winning contract B is .4. If the company loses contract A, then the probability of winning contract B de

> A sign on the gas pumps of a chain of gasoline stations encourages customers to have their oil checked with the claim that one out of four cars needs to have oil added. If this is true, what is the probability of the following events? a. One out of the n

> Pew Research Center conducted a survey of countries around the world and asked respondents whether they were having a typical day, a good day, or a bad day. The results and the number of respondents in Europe, Asia, and the United States are listed next.

> Refer to Exercise 6.86. The professor meets a student who has just graduated in less than five year. Determine the probability that he graduated with B.B.A. degree. Data from Exercise 6.86: A statistics professor was in the process of comparing the pass

> Refer to Exercise 6.85. An American under 40 tells you that he has student debt. What is the probability that he is managerial or professional? Data from Exercise 6.85: How many Americans under the age of 40 have student debts? A Pew Research Center atte

> Refer to Exercise 6.84. A respondent who disapproved of the way the EU handled the refugee issue was selected. Calculate the probability that the respondent is from Greece. Data from Exercise 6.84: Respondents in Greece, Hungary, and Poland were asked wh

> Given a binomial random variable with n = 6 and p = .2, use the formula to find the following probabilities. a. P(X = 2) b. P(X = 3) c. P(X = 5)

> Refer to Exercise 6.76. The researchers examined a child under 16 and discovered that he is myopic. What is the probability that he slept with the lights when he was under 2? Data from Exercise 6.76: Researchers at the University of Pennsylvania School O

> The Pap smear is the standard test for cervical cancer. The false-positive rate is .636; the false-negative rate is .180. Family history and age are factors that must be considered when assigning a probability of cervical cancer. Suppose that, after obta

> Given a binomial random variable with n = 10 and p = .3, use the formula to find the following probabilities. a. P(X = 3) b. P(X = 5) c. P(X = 8)

> The Rapid Test is used to determine whether someone has HIV (the virus that causes AIDS). The false-positive and false-negative rates are .027 and .080, respectively. A physician has just received the Rapid Test report that his patient tested positive. B

> Transplant operations have become routine. One common transplant operation is for kidneys. The most dangerous aspect of the procedure is the possibility that the body may reject the new organ. Several new drugs are available for such circumstances, and t

> Calculate the mean and standard deviation of the portfolio. The proportions invested in each stock are shown in parentheses. a. Intel (INTC): 25%, Oracle (ORCL): 25%, Sirius (SIRI): 25%, Starbucks (SBUX): 25% b. INTC: 10%, ORCL: 10%, SIRI: 10%, SBUX: 70%

> Calculate the mean and standard deviation of the portfolio. The proportions invested in each stock are shown in parentheses. a. Costco (COST): 25%, Dollar Tree (DLTR): 25%, Expedia (EXPE): 25%, ScanDisk (SNDK): 25% b. COST: 10%, DLTR: 20%, EXPE: 30%, SND

> Calculate the mean and standard deviation of the portfolio. The proportions invested in each stock are shown in parentheses. a. Amazon (AMZN): 25%, Apple (AAPL): 25%, Bed Bath and Beyond (BBBY): 25%, Dollar Tree (DLTR): 25% b. AMZN: 10%, AAPL: 40%, BBBY:

> Calculate the mean and standard deviation of the portfolio. The proportions invested in each stock are shown in parentheses. a. Adobe (ADBE): 25%, Cisco Systems (CSCO): 25%, Comcast (CMCSA): 25%, Garmin (GRMN): 25% b. ADBE: 40%, CSCO: 10%, CMCSA: 40%, GR

> Bad gums may mean a bad heart. Researchers discovered that 85% of people who have suffered a heart attack had periodontal disease, an inflammation of the gums. Only 29% of healthy people have this disease. Suppose that in a certain community heart attack

> Refer to Exercise 6.74. A randomly selected candidate who took a CFA exam tells you that he has passed the exam. What is the probability that he took the CFA I exam? Data from Exercise 6.74: The chartered financial analyst (CFA) is a designation earned a

> In Case 6.2, we presented the probabilities of scoring at least one run and asked you to determine whether the manager should signal for the batter to sacrifice bunt. The decision was made on the basis of comparing the probability of scoring at least one

> If an intercompany profit is recorded on the sale of an asset to an affiliate within the consolidated entity in Period 1, when should this profit be considered realized? Explain.

> "From a consolidated-entity point of view, intercompany revenue and expenses and intercompany borrowings do nothing more than transfer cash from one bank account to another." Explain.

> List the types of intercompany revenue and expenses that are eliminated in the preparation of a consolidated income statement, and indicate the effect that each elimination has on the amount of net income attributable to non-controlling interest.

> Describe the journal entry on the parent's books under the equity method to adjust for unrealized profits in ending inventory for upstream transactions.

> A subsidiary periodically revalues its land to fair value under the revaluation option for property, plant, and equipment. Explain the adjustments required to the consolidated financial statements if the subsidiary sells this land to the parent at an amo

> An intercompany gain on the sale of land is eliminated in the preparation of the consolidated statements in the year that the gain was recorded. Will this gain be eliminated in the preparation of subsequent consolidated statements? Explain.

> When there are unrealized profits in inventory at the end of Year 1, consolidated profit would normally be affected for Years 1 and 2. Explain.

> What difference does it make on the consolidated financial statements if there are unrealized profits in land resulting from a downstream transaction as compared with an upstream transaction?

> Describe the effects that the elimination of intercompany sales and intercompany profits in ending inventory will have on the various elements of the consolidated financial statements.

> In what way are an individual's pants with four pockets similar to a parent company with three subsidiaries? Explain, with reference to intercompany revenues and expenses.

> How should transfers of resources between funds be presented in fund financial statements? How should they be presented in a single set of non-fund financial statements?

> At the end of the year, the parent's investment account had an equity method balance of $120,000. At this time, its 75%-owned subsidiary had shareholders' equity totaling $125,000. How much was the unamortized acquisition differential at the end of the y

> "Under the equity method, the investment account is adjusted for the investor's share of post-acquisition earnings computed by the consolidation method." Explain this statement.

> "An acquisition differential allocated to revalue the land of a subsidiary on acquisition date will always appear on subsequent consolidated balance sheets." Do you agree? Explain.

> The retained earnings column in the consolidated statement of changes in equity shows dividends declared during the year. Do these dividends consist of the parent's, the subsidiary's, or both? Explain.

> By which method, cost or equity, does IFRS require a parent company to record its investment in a subsidiary? Why?

> A parent company's 75%-owned subsidiary declared and paid a dividend totaling $10,000. How would the parent company record this dividend under the equity method? Under the cost method?

> When the parent has used the equity method, its net income equals consolidated net income attributable to its shareholders, and its retained earnings equal consolidated retained earnings. However, the parent's financial statements are not the same as con

> Is the impairment test for intangibles other than goodwill the same as the one used for goodwill? Briefly explain.

> What are the initial entries on the working paper when the parent has used the cost method to account for its investment?

> A subsidiary was acquired in the middle of the fiscal year of the parent. Describe the preparation of the consolidated income statement for the year.

> The net assets section of an NFPO's statement of financial position should be divided into three main sections. List the sections, and explain the reasons for each.

> Why does adding the parent's share of the increase in retained earnings of the subsidiary and the parent's retained earnings under the cost method result in consolidated retained earnings? Assume that there is no acquisition differential.

> What accounts in the financial statements of the parent company have balances that differ depending on whether the cost or the equity method has been used?

> Explain how the matching principle is applied when amortizing the acquisition differential.

> On the consolidated balance sheet, what effect does the elimination of intercompany receivables and payables have on shareholders' equity and non-controlling interest?

> Briefly outline the process for determining if goodwill is impaired and how to allocate any impairment loss.

> What reporting options related to business combinations are available to private companies?

> Explain how changes in the fair value of contingent consideration should be reported, assuming that the contingent consideration will be paid in the form of cash.

> What is contingent consideration, and how is it measured at the date of acquisition?

> What accounts on the consolidated balance sheet differ in value between entity theory and parent company extension theory? Briefly explain why they differ.

> What is non-controlling interest, and where is it reported in the consolidated balance sheet under the parent company extension and entity theories?

> What guidelines does the Handbook provide for pledges received by an NFPO?

> Under the entity theory and when using the implied value approach, consolidated goodwill is determined by inference. Describe how this is achieved, and comment on its shortcomings.

> How is the goodwill appearing on the statement of financial position of a subsidiary prior to a business combination treated in the subsequent preparation of consolidated statements? Explain.

> With respect to the valuation of non-controlling interest, what are the major differences among proprietary, parent company extension, and entity theories?

> In the preparation of a consolidated balance sheet, the differences between the fair value and the carrying amount of the subsidiary's net assets are used. Would these differences be used if the subsidiary applied push-down accounting? Explain.

> How would the consolidation of a parent-founded subsidiary differ from the consolidation of a purchased subsidiary?

> Don Ltd. purchased 80% of the outstanding shares of Gunn Ltd. Before the purchase, Gunn had a deferred charge of $10.5 million on its balance sheet. This item consisted of organization costs that were being amortized over a 20-year period. What amount sh

> In whose accounting records are the consolidation elimination entries recorded? Explain.

> How is the net income earned by a subsidiary in the year of acquisition incorporated in the consolidated income statement?

> Explain whether the historical cost principle is applied when accounting for negative goodwill.

> What is negative goodwill, and how is it accounted for?

> Outline the Handbook's requirements for NFPOs with regard to accounting for the capital assets of NFPOs.

> Is a negative acquisition differential the same as negative goodwill? Explain.

> What is an acquisition differential, and where does it appear on the consolidated balance sheet?

> What part do irrevocable agreements, convertible securities, and warrants play in determining whether control exists? Explain.

> What criteria must be met for a subsidiary to be consolidated? Explain.

> If one company issued shares as payment for the net assets of another company, it would probably insist that the other company be wound up after the sale. Explain why this condition would be part of the purchase agreement.

> Briefly describe the accounting involved with the new-entity method.