## John drives to work each morning and the trip takes an average of µ = 38 minutes. The distribution of driving times is approximately normal

Question

John drives to work each morning and the trip takes an average of µ = 38 minutes. The distribution of driving times is approximately normal with a standard deviation of σ = 5 minutes. For a randomly selected morning, what is the probability that John’s drive to work will take less than 35 minutes?

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Math
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2021-11-25T03:19:31+00:00
2021-11-25T03:19:31+00:00 1 Answer
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## Answers ( )

Answer:The probability that John’s drive to work will take less than 35 minutes is 0.2743

Step-by-step explanation:Given :To Find:what is the probability that John’s drive to work will take less than 35 minutes?Solution:We are supposed to find P(x<35)

We will use z score

Formula:

Substitute x = 35

z= −0.6

Refer the z table for p value

P(x<35)= 0.2743

Hence the probability that John’s drive to work will take less than 35 minutes is 0.2743