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Chapter 4: Q. 39 (page 285)

Use the following information to answer the next eight exercises: The Higher Education Research Institute at UCLA collected data from 203,967incoming first-time, full-time freshmen from270four-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 values does the random variable Xtake on?

Short Answer

Expert verified

The random variablesXhas values of0to8.

Step by step solution

01

Given information

Number of students replied is 71.3%.

Number of randomly picked full time freshmen for survey is eight.

02

Explanation

In binomial distribution Xvariables have,

Number of trials is eight

Possibility of success71.3%

So,

X~B(t,P)

X~B(8,0.713)

So the random variable has trial value of eight,

XRandom variable values is ,

X=(0,1,2,3,4,5,6,7,8)

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