Q:

Through the career services​ office, you have arranged preliminary interviews at four companies for summer jobs. Each company will either ask you to come to their site for a​ follow-up interview or not. Let X be the random variable equal to the total number of​ follow-up interviews that you might have. ​a) List all the possible values of X. ​b) Is the random variable discrete or​ continuous? ​c) Do you think a uniform distribution might be appropriate as a model for this random​ variable? Explain briefly.

Accepted Solution

A:
Answer:a) All the possible values of X are: 0,1,2,3,4b) Discretec) No.For each job, there are only two possible outcomes. Either you asked for a follow up interview or not. This means that the most appropriate model is the binomial probability distribution.Step-by-step explanation:You have four interviews. Each one has two possible outcomes. Either you are asked to come back for a follow up interview or you are not.Let X be the random variable equal to the total number of​ follow-up interviews that you might have. ​a) List all the possible values of X.This is the number of follow-up interviews you can be called.You can be called to 0,1,2,3 or 4 follow up interviews.So all the possible values of X are: 0,1,2,3,4.​b) Is the random variable discrete or​ continuous?There are no decimal values. For example, you cannot be asked to 3.5 interviews, for example. So the random variable is discrete.c) Do you think a uniform distribution might be appropriate as a model for this random​ variable? Explain briefly.No.For each job, there are only two possible outcomes. Either you asked for a follow up interview or not. This means that the most appropriate model is the binomial probability distribution.