Questions from Statistics Principles

Q: The accompanying table shows the percentages of residents in a large community

The accompanying table shows the percentages of residents in a large community when classified according to gender and presence of a particular allergy. Suppose that the selection of a person is consi...

Q: For each situation, state whether or not a binomial distribution holds

For each situation, state whether or not a binomial distribution holds for the random variable X. Also, identify the numerical values of n and p when a binomial distribution holds. (a) A fair die is...

Q: Construct a tree diagram for three Bernoulli trials. Attach probabilities in

Construct a tree diagram for three Bernoulli trials. Attach probabilities in terms of p and q to each outcome and then table the binomial distribution for n = 3.

Q: In each case, find the probability of x successes in n

In each case, find the probability of x successes in n Bernoulli trials with success probability p for each trial. (a) X = 2 n = 3 p = .35 (b) X = 3 n = 6 p = .25 (c) X = 2 n = 6 p = .65

Q: (a) Plot the probability histograms for the binomial distributions for

(a) Plot the probability histograms for the binomial distributions for n = 5 and p equal to .2, .5, and .8. (b) Locate the means. (c) Find P [ X ≥ 4 ) for each of the three cases.

Q: An interior designer makes a presentation to potential clients and this results

An interior designer makes a presentation to potential clients and this results in sales of h er services in 25% of the cases. Let X denote the number of sales in the next four presentations. Assuming...

Q: Two brands of beverages, B and M, are popular with

Two brands of beverages, B and M, are popular with students. The owner of one campus establishment observes sales and, for each of three weekends, records which brand has the highest sales. List the p...

Q: Refer to Exercise 5.59. What is the most probable

Refer to Exercise 5.59. What is the most probable value of X ( called the mode of a distribution)? Data from Exercise 5.59: An interior designer makes a presentation to potential clients and this res...

Q: About 75% of dog owners buy holiday presents for their dogs

About 75% of dog owners buy holiday presents for their dogs. Suppose n = 4 dog owners are randomly selected. Find the probability of: (a) Three or more buy their dog holiday presents. (b) At most th...

Q: According to a recent survey, outside of their own family members

According to a recent survey, outside of their own family members, 26% of adult Americans have no close friend to confide in. If this is the prevailing probability today, find the probability that in...