Question:Use the following to answer the question with solution

60% of those who take a certification exam pass it. Assume binomial distribution applies. 10 people have registered to take the exam in June.

1)What is the probability that exactly 4 of them will pass the test?

A.0.0000

B.0.1115

C.0.2501

D.0.1662

2)What is the probability that more than three will fail the exam?

A.0.9877

B.0.1673

C.0.6177

D.0.0123

Use the following information to answer Questions below with solution

The average time to a certification exam is 2 hours and 40 minutes (160 minutes) with a standard deviation equal to 25 minutes. Assume normal distribution applies.

3)What is the probability that a random individual finishes the exam in exactly two hours (120 minutes)?

A.0.000

B.0.426

C.0.821

D.0.145

4)What is the probability that it takes a student less than 125 minutes to complete the test?

A.0.0808

B.0.9192

C.0.4251

D.0.6315