Answered: Three students scheduled interviews for…

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

Three students scheduled interviews for summer employment at the Brookwood Institute. In each case the interview results in either an offer for a position or no offer. Experimental outcomes are defined in terms of the results of each student interview. (Let Y = the position is offered to a student and N = the position is not offered to a student.)

(a)

List the experimental outcomes. (Select all that apply.)

(Y)(N)(Y, Y)(N, N)(Y, N)(N, Y)(Y, Y, Y)(Y, Y, N)(Y, N, Y)(N, Y, Y)(Y, N, N)(N, Y, N)(N, N, Y)(N, N, N)

(b)

Define a random variable that represents the number of offers made.

x = the number of offersx = the number of experimental outcomes x = the ratio of offers to rejectionsx = the number of rejectionsx = the percentage of offers accepted

Is the random variable discrete?

YesNo

(c)

Show the value of the random variable for each of the experimental outcomes. (If an experimental outcome does not occur, enter NONE.)

Experimental Outcome	Value of x
(Y)
(N)
(Y, Y)
(N, N)
(Y, N)
(N, Y)
(Y, Y, Y)

Experimental Outcome	Value of x
(Y, Y, N)
(Y, N, Y)
(N, Y, Y)
(Y, N, N)
(N, Y, N)
(N, N, Y)
(N, N, N)

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