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Chapter 4: Q. 47 (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 values does the random variable X take on?

Short Answer

Expert verified

The random variable Xcan take values x=1,2,鈥� (total number of freshmen).

Step by step solution

01

Given

A total of 203,967 freshmen were included within the study. They were asked about their opinion on whether same sex couples should/should not have the proper to legal legal status. If a freshman answered with a 'yes', it had been considered successful, otherwise failure.

02

Explanation of Solution

The chance variable is defined as,
X : Number of freshmen selected from the study until the primary one who replied "yes", when asked whether same sex couples should have the proper to legal legal status, was found.
Xis clearly a discrete variable. it's going to happen that the primary freshman itself replies 'yes' and therefore the experiment stops, or the experiment keeps on going till the last freshman is asked. within the first case, Xtakes value 1and within the last case it takes value 203,967.So,Xcan take a minimum value 1, a maximum value 203,967, or any number (whole number) between 0and203,967.

03

Conclusion

Thus, the set of values that the random variable X can take are x=1,2,鈥� (total number of freshmen).

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