Questions from Statistics Principles

Q: In the finals of a match play golf tournament, the winner

In the finals of a match play golf tournament, the winner will get $90,000 and the loser$ 15,000. Find the expected winnings of player B if (a) the two finalists are evenly matched and (b) player B ha...

Q: The number of overnight emergency calls X to the answering service of

The number of overnight emergency calls X to the answering service of a heating and air conditioning firm have the probabilities .05, .1, .15, .35, .20, and .15 for 0, 1, 2, 3, 4, and 5 calls, respect...

Q: Suppose the number of parking tickets X issued during a police officer's

Suppose the number of parking tickets X issued during a police officer's shift has the probability distribution (a) Find the mean and standard deviation of the number of parking tickets issued. (b) Le...

Q: A botany student is asked to match the popular names of three

A botany student is asked to match the popular names of three house plants with their obscure botanical names. Suppose the student never heard of these names and is trying to match by sheer guess. Let...

Q: John and two of his friends have one-on-one

John and two of his friends have one-on-one basketball tournaments almost every week. Each person plays each other person once. Let X be the number of games that John wins next week X . Based on the r...

Q: A roulette wheel has 38 slots, of which 18 are red

A roulette wheel has 38 slots, of which 18 are red, 18 black, and 2 green. A gambler will play three times, each time betting $5 on red . The gambler gets $ 10 if red occurs and loses the bet otherwis...

Q: Suppose that X can take the values 0, 1, 2

Suppose that X can take the values 0, 1, 2, 3, and 4, and the probability distribution of X is incompletely specified by the function Find(a) f(4) (b)P [X ≥ 2] (c) E(X)and (d) sd(X)....

Q: A probability distribution can also be described by a function that gives

A probability distribution can also be described by a function that gives the accumulated probability at or below each value of X. Specifically, Cumulative distribution function at c = Sum of probabil...

Q: A book club announces a sweepstakes in order to attract new subscribers

A book club announces a sweepstakes in order to attract new subscribers. The prizes and the corresponding chances are listed here (typically, the prizes are listed in bold print in an advertisement fl...

Q: Let the random variable Y denote the proportion of times a head

Let the random variable Y denote the proportion of times a head occurs in three tosses of a coin, that is, Y = ( No. of heads in 3 tosses )/ 3. (a) Obtain the probability distribution Y. (b) Draw th...