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?

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

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