Q1- Suppose 0.2 of the graduates of a job training centre receive lower paying j

Question

Q1-

Suppose 0.2 of the graduates of a job training centre receive lower paying jobs than they had prior to entering the job training program.

In a random sample of six graduates, what is the probability that exactly five have jobs paying more than they earned before entering the program? (Your answer should be correct to four decimal places.)

Q2-

From considerable past experience, a student knows that the time elapsed between placement of a pizza order and delivery of the pizza is uniformly distributed between 10 and 40 minutes.

What proportion of pizza deliveries take between 20 and 33 minutes? (Your answer should be correct to two decimal places.)

Explanation / Answer

Solution:-

1) The probability that exactly five have jobs paying more than they earned before entering the program= 0.3931

Probability of graduates recieving lower paying jobs = 0.2

Probability of graduates recieving more than they before earned = 0.8

p = 0.8, n = 6, x = 5

BY applying Binomial distribution:-

P(x = 5) = nCx*px*(1-p)(n-x)

P(x = 5) = 0.3931

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