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 ratio of offers to rejectionsx = the number of rejections x = the number of offersx = the percentage of offers acceptedx = the number of experimental outcomes 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)
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 ratio of offers to rejectionsx = the number of rejections x = the number of offersx = the percentage of offers acceptedx = the number of experimental outcomes 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)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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 ratio of offers to rejectionsx = the number of rejections x = the number of offersx = the percentage of offers acceptedx = the number of experimental outcomes
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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