Question

Industrial Engineering Problem/ Probability and Statistics, Will give good rating.
Solve problems using Minitab. Show evidence that they used the program by putting screen shots of the results.

Exercises:

1. Among the 120 applicants for a job, only 80 are qualified. If 5 of these applicants are selected at random for an interview, answer the following:

to. Identify the random process


b. Define a variable


c. Associate the random variable with a distribution and its parameters

Answer 1

The probability that a randomly selected applicant will be qualified

a) Random process : Out of 5 randomly selected applicants for an interview, number of applicants for a particular sample can be of any value between {0, 1, 2, 3, 4, 5 }

b) Let X denotes the number of applicants who may qualify out of 5 randomly selected applicants for an interview.

c) X ~ Binomial(n = 5, p = 0.666667)

The probability mass function of X is