The length of time needed to complete a certain test is normally distributed with mean 62 minutes and standard deviation 8 minutes. Find the probability that it will take less than 74 minutes to complete the test. a) 0.0668b) 0.5334c) 0.5000d) 0.4666e) 0.9332

Answer: the correct option is e

Step-by-step explanation:

Since the The length of time needed to complete a certain test is normally distributed, we would apply the the formula for normal distribution which is expressed as

z = (x - u) / s

Where

x = The length of time needed to complete a certain test

u = mean time

s = standard deviation

From the information given,

u = 62 minutes

s = 8 minutes

We want to find the probability the probability that it will take less than 74 minutes to complete the test. It is expressed as

P (x lesser than or equal to 74)

For x = 74,

z = (74 - 62) / 8 = 1.5

Looking at the normal distribution table, the corresponding value for the z score is 0.9332

P (x lesser than or equal to 74) = 0.9332