Q. 53 Use the following information to... [FREE SOLUTION]

91影视

Introductory Statistics

Barbara Illowsky, Susan Dean

$Math Studyset 91影视 Explanations$ Math

OER 2018 Edition 路 902 pages

ISBN: 9781938168208

Chapter 4: Q. 53 (page 287)

Use the following information to answer the next five exercises: Suppose that a group of statistics students is divided into two groups: business majors and non-business majors. There are $16$ business majors in the group and seven non-business majors in the group. A random sample of nine students is taken. We are interested in the number of business majors in the sample.
What values does $X$ take on?

Short Answer

Expert verified

The continuous random variable can have any number of values. $x = 2, 3, 4, 5, 6, 7, 8, 9$

Step by step solution

Given

From a total of $16$ business majors and $7$ non-business majors, a sample of $9$ students was chosen. The random variable's representation of the data:

$X$ : The sample's number of business majors.

Explanation of Solution

A discrete random variable is $X$ . Because there are only $7$ non-business students in the group, the sample of size $9$ will have at least $2$ business majors. As a result, the lowest number that $X$ can take is $2$ . It's also possible that all of the students chosen are business majors, in which case the maximum value for x is $9$ . As a result, any integral value between $2$ and $9$ can be assigned to the random variable $X$ . (both inclusive).