Question

Solve problems using Minitab. Show evidence that they used the program by putting screen shots of the results. Will give good rating.

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



Solve the following questions using Minitab:

d. Find the probability that exactly 2 of the 5 are qualified for the job


and. Find the probability that at least 3 of the 5 are qualified for the job


F. Find the probability that at most (at most) 4 of the 5 are qualified for the job.

Answer 1

The probability that the selected applicant is qualified is

1) The random process is Binomial.

b) The Random variable is . X can take values 0,1,2,3,4,5.

c) The distribution is Binomial with parameters .

Consider the following MINITAB screenshot (Choose "Calc" ->Probability Distribution ->Binomial)

d) The probability that exactly 2 of the 5 are qualified for the job is   0.164576.

e) The probability that at least 3 of the 5 are qualified for the job is 1-0.209827 = 0.790173

f) The probability that at most (at most) 4 of the 5 are qualified for the job is  0.868280