Question

HELP ASAP FOR BRAINLIEST: The time required to finish a test is normally distributed with a mean of 60 minutes and a standard deviation of 10 minutes. What is the probability that a student will finish the test between 50 and 60 minutes?

Answer 1

Answer:

Step-by-step explanation:

Since the time required to finish a test is normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - u)/s

Where

x = required to finish a test

u = mean time

s = standard deviation

From the information given,

u = 60 minutes

s = 10 minutes

We want to find the probability that a student will finish the test between 50 and 60 minutes. It is expressed as

P(50 ≤ x ≤ 60)

For x = 50

z = (50 - 60)/10 = - 1

Looking at the normal distribution table, the probability corresponding to the z score is 0.1587

For x = 60

z = (60 - 60)/10 = 0

Looking at the normal distribution table, the probability corresponding to the z score is 0.5

Therefore,

P(50 ≤ x ≤ 60) = 0.5 - 0.1587 = 0.3413