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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

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 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 standard deviation(蟽)?

What values does X take on?

P(x=4)=_______P(x = 4) = _______

According to the South Carolina Department of Mental Health web site, for every 200 U.S. women, the average number who suffer from anorexia is one. Out of a randomly chosen group of 600 U.S. women determine the following.

a. In words, define the random variable X.

b. List the values that X may take on.

c. Give the distribution ofX. X ~ _____(_____,_____)

d. How many are expected to suffer from anorexia?

e. Find the probability that no one suffers from anorexia.

f. Find the probability that more than four suffer from anorexia.

A lacrosse team is selecting a captain. The names of all the seniors are put into a hat, and the first three that are drawn will be the captains. The names are not replaced once they are drawn (one person cannot be two captains). You want to see if the captains all play the same position. State whether this is binomial or not and state why.
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