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Chapter 4: Q. 90 (page 293)

Use the following information to answer the next two exercises: The probability that the San Jose Sharks will win any given game is 0.3694based on a 13-year win history of 382wins out of 1,034games played (as of a certain date). An upcoming monthly schedule contains 12games.

What is the probability that the San Jose Sharks win six games in that upcoming month?

a.

b.

c. 0.7664

d. 0.8903

Short Answer

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Most popular questions from this chapter

Define P(x),or the probability ofx.

In one of its Spring catalogs, L.L. Bean® advertised footwear on 29 of its 192 catalog pages. Suppose we randomly survey 20 pages. We are interested in the number of pages that advertise footwear. Each page may be picked more than once.

a. In words, define the random variable X.

b. List the values that X may take on.

c. Give the distribution of X. X ~ _____(_____,_____)

d. How many pages do you expect to advertise footwear on them?

e. Is it probable that all twenty will advertise footwear on them? Why or why not?

f. What is the probability that fewer than ten will advertise footwear on them?

g. Reminder: A page may be picked more than once. We are interested in the number of pages that we must randomly survey until we find one that has footwear advertised on it. Define the random variable X and give its distribution.

h. What is the probability that you only need to survey at most three pages in order to find one that advertises footwear on it?

i. How many pages do you expect to need to survey in order to find one that advertises footwear?

Approximately 8% of students at a local high school participate in after-school sports all four years of high school. A group of 60 seniors is randomly chosen. Of interest is the number who participated in after-school sports all four years of high school.

a. In words, define the random variable X.

b. List the values that X may take on.

c. Give the distribution of X. X ~ _____(_____,_____)

d. How many seniors are expected to have participated in after-school sports all four years of high school?

e. Based on numerical values, would you be surprised if none of the seniors participated in after-school sports all four years of high school? Justify your answer numerically.

f. Based upon numerical values, is it more likely that four or that five of the seniors participated in after-school sports all four years of high school? Justify your answer numerically

Use the following information to answer the next six exercises: The Higher Education Research Institute at UCLA collected data from203,967 incoming first-time, full-time freshmen from 270 four-year colleges and universities in the U.S. 71.3% of those students replied that, yes, they believe that same-sex couples should have the right to legal marital status. Suppose that you randomly select freshman from the study until you find one who replies “yes.” You are interested in the number of freshmen you must ask.

Construct the probability distribution function (PDF). Stop at x = 6.

In words, the random variableX=_________________

a. the number of times Mrs. Plum’s cats wake her up each week.

b. the number of times Mrs. Plum’s cats wake her up each hour.

c. the number of times Mrs. Plum’s cats wake her up each night.

d. the number of times Mrs. Plum’s cats wake her up.
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