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Chapter 4: Q. 43 (page 286)

Use the following information to answer the next eight 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 pick eight first-time, full-time freshmen from the survey. You are interested in the number that believes that same sex-couples should have the right to legal marital status.

What is the probability that at most five of the freshmen reply“yes”?

Short Answer

Expert verified

The probability that at most five of the freshmen reply"yes" is0.4151.

Step by step solution

01

Given information

n=8,p=0.713,q=1-0.713=0.287

02

Explanation

The probability of at most five successes out of eight trials is:

PX=x=xnpxqn-x;0≤p≤1,x=0,1,2,…,n,q=1-pPX≤5=P0+P2+P3+P4+P5PX≤5=0.4151

Thus, the probability that at most five of the freshen reply "yes" is 0.4151.

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Most popular questions from this chapter

An electronics store expects to have ten returns per day on average. The manager wants to know the probability of the store getting fewer than eight returns on any given day. State the probability question mathematically.

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Complete Table 4.28 using the data provided.
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