/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 44 Use the following information to... [FREE SOLUTION] | 91影视

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Chapter 4: Q. 44 (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 theU.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 least two of the freshmen reply鈥测别蝉鈥�?

Short Answer

Expert verified

The probability that at least two of the freshmen reply"yes" is0.999.

Step by step solution

01

Given information

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

02

Explanation

The probability of at least two successes out of eight trials is :

PX=x=nxpxqn-x;0鈮�p鈮�1,x=0,1,2,鈥�,n,q=1-pPX鈮�2=1-PX<2=1-P0+P1=1-0.00096=0.999

Thus, the probability that at least two of the freshmen reply"yes" is 0.999, which is approximately 1. So, the event that at least two of the freshmen reply"yes" is almost sure.

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Use the following information to answer the next eight 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 theU.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.

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