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Chapter 4: Q. 50 (page 286)

Use the following information to answer the next six exercises: The Higher Education Research Institute at UCLA collected data from 203,967 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 鈥測es.鈥� You are interested in the number of freshmen you must ask.

What is the probability that you will need to ask fewer than three freshmen?

Short Answer

Expert verified

The probability that less than three freshmen will need to be asked is 0.917.

Step by step solution

01

Given

Probability of success, p=71.3%=0.713.

02

Concept used

We know that for a geometrical distribution,
P(X=x)=p(1-p)1-x
where x is that the number of freshmen asked and pis that the probability of success.

03

Calculation

We want to seek out the probability that but 3 freshmen will must be asked, i.e., P(X<3).
P(X<3)=P(X=1)+P(X=2)

=0.713+0.20463=0.917

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Most popular questions from this chapter

Use the following information to answer the next six exercises: On average, a clothing store gets 120customers per day.

What values does Xtake on?

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

About 32% of students participate in a community volunteer program outside of school. If 30students are selected at random, find the probability that at most 14 of them participate in a community volunteer program outside of school. Use the TI-83+orTI-84 calculator to find the answer.

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