Question

Yosemite National Park has five High Sierra camps arranged in a 49-mile loop. The camps are separated by 8–10 miles, which allows you to hike from one camp to the next in a day. Each camp provides tent cabins with four to six beds per cabin and serves family-style meals. Because of the popularity of the loop, you must enter a lottery in the fall for the following summer, and in a given year, approximately 25% of the groups are selected at random to hike the loop.8 You plan to enter the lottery each year for the next five years. Let X be the number of years in which you are selected to hike the loop.

a. X has a binomial distribution. What are n and p?

b. What are the possible values that X can take?

c Find the probability of each value of X. Draw a probability histogram for the distribution of X. (See Figure 14.2, page 339, for an example of a probability histogram.)

d. What are the mean and standard deviation of this distribution? Mark the location of the mean on your histogram.

Answer 1

- 02 Disto buh, m P(x) S-0 0.23チ3 10.3955 5) l 、ナ ) 0.25) (075) ST 0.00 1 0 31 1

OL 0.2 0 Meam) v (x) Stamdasd