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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Elliana 1 week 2021-11-25T03:19:31+00:00 1 Answer 0

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    2021-11-25T03:21:16+00:00

    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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