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sertanlavr [38]
3 years ago
5

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

tely 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?​
Mathematics
1 answer:
exis [7]3 years ago
5 0

Answer:

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

Step-by-step explanation:

Given : \mu = 38 \\\sigma = 5

To Find :what is the probability that John’s drive to work will take less than 35 minutes?​

Solution:

\mu = 38 \\\sigma = 5

We are supposed to find P(x<35)

We will use z score

Formula: z=\frac{x-\mu}{\sigma}

Substitute x = 35

z=\frac{35-38}{5}

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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