# Normal Distribution

The time needed to complete the final examination of MGSC 301 is normally distributed with a mean of 120 minutes and a standard deviation of 12 minutes.

a. What is the probability that a student will finish the examination in two hours or more?

b. What is the probability that a student will finish the examination in more than 100 minutes but less than 150 minutes?

c. What is the probability that a student will finish the examination in more than 140 minutes?

https://brainmass.com/statistics/probability/normal-distribution-254947

#### Solution Preview

The time needed to complete the final examination of MGSC 301 is normally distributed with a mean of 120 minutes and a standard deviation of 12 minutes.

a) What is the probability that a student will finish the examination in two hours or more?

Mean=2 hours = 120 minutes

Probability of exceeding mean = 50% as the normal distribution is symmetrical

Mean=M = 120 minutes

Standard deviation =s= 12 minutes

x= 120 minutes ...

#### Solution Summary

Calculates probability using Normal Distribution.