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 in less than 70 minutes?

show work !

Step-by-step explanation:

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

z = (x - µ)/σ

Where

x = time taken to finish test.

µ = mean time

σ = standard deviation

From the information given,

µ = 60 minutes

σ = 10 minutes

We want to find the probability that a student will finish the test in less than 70 minutes. It is expressed as

P(x ≤ 70)

For x = 70,

z = (70 - 60)/10 = 1

Looking at the normal distribution table, the probability corresponding to the z score is 0.8413

Therefore,

P(x ≤ 70) = 0.8413

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step-by-step explanation:

step-by-step explanation:

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