Question

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.

Answer 1

Answer:

a) All the possible values of X are: 0,1,2,3,4

b) Discrete

c) 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.