michael12341 michael12341

21-04-2017
Mathematics

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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?

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AlWaleed AlWaleed

21-04-2017

The answer is 0.3413 because Explanation:

z=x−uσ, where u=6 0andσ=10.

Therefore the probability student finish the test between 50 to 60 minutes is,

P(50≤x≤60)=P(50−6010≤z≤60−6010)

P(−1≤z≤0)=P(z≤0)−P(z≤−1)

=0.5000−0.1587=0.3413

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