A survey asks 1200 workers, "Has the economy forced you to reduce the amount of vacation you plan to take this year?" Thirty-four percent of those surveyed say theyare reducing the amount of vacation. Thirty workers participating in the survey are randomly selected. The random variable represents the number of workers who arereducing the amount of vacation. Decide whether the experiment is a binomial experiment. If it is, identify a success, specify the values of n, p, and q, and list thepossible values of the random variable x.Is the experiment a binomial experiment?O YesWhat is a success in this experiment?Selecting a worker who is not reducing the amount of vacationO Selecting a worker who is reducing the amount of vacationO This is not a binomial experiment.Specify the value of n. Select the correct choice below and fill in any answer boxes in your choice.OA. n=OB. This is not a binomial experiment.

Answered: A survey asks 1200 workers, "Has the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

A survey asks 1200 workers, "Has the economy forced you to reduce the amount of vacation you plan to take this year?" Thirty-four percent of those surveyed say they
are reducing the amount of vacation. Thirty workers participating in the survey are randomly selected. The random variable represents the number of workers who are
reducing the amount of vacation. Decide whether the experiment is a binomial experiment. If it is, identify a success, specify the values of n, p, and q, and list the
possible values of the random variable x.
Is the experiment a binomial experiment?
O Yes
What is a success in this experiment?
Selecting a worker who is not reducing the amount of vacation
O Selecting a worker who is reducing the amount of vacation
O This is not a binomial experiment.
Specify the value of n. Select the correct choice below and fill in any answer boxes in your choice.
OA. n=
OB. This is not a binomial experiment.

Expert Solution

Step 1

For a predefined random variable (that is discrete in nature) say X, with an assumption that each outcome (or trial) of the random variable is assumed to be characterized by a "success" or a "failure", for a finite number of trails (i.e., $n$ ), the random variable is claimed to be following a binomial distribution. The pmf of X is defined that,

. $P (X = x) = \{\begin{cases} ^{n} C_{x} p^{x} {(1 - p)}^{x}; x = 0, 1, 2 . . . n \\ 0; o t h e r w i s e \end{cases}$