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Chapter 4: Q. 37 (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 from 270four-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.

In words, define the random variableX.

Short Answer

Expert verified

Variable Xis number of persons legal for marital status.

Step by step solution

01

Given information

In a survey, freshmen were asked whether they thought same-sex couples should have the right to legal marriage status.

The number eight is chosen at random.

02

Explanation

The random variable's definition is as follows:

A random variable is a variable that represents the outcome of interest in a random experiment and is denoted by upper case alphabets.

X=Number of freshmen selected from the study trial of eight interested in the number that believes that same sex-couples should have the right to legal marital status

SinceXcan take only a finite number of values, it is a discrete random variable.

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Most popular questions from this chapter

According to a Gallup poll, 60% of American adults prefer saving over spending. Let X = the number of American adults out of a random sample of 50 who prefer saving to spending.

a. What is the probability distribution for X?

b. Use your calculator to find the following probabilities:

i. the probability that 25 adults in the sample prefer saving over spending

ii. the probability that at most 20 adults prefer saving

iii. the probability that more than 30 adults prefer saving

c. Using the formulas, calculate the

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