Assume the random variable x is normally distributed with mean muμequals=8787 and standard deviation sigmaσequals=55. Find the indicated pro

Question

Assume the random variable x is normally distributed with mean muμequals=8787 and standard deviation sigmaσequals=55. Find the indicated probability. ​P(x less than<7979​)

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Raelynn 2 weeks 2021-09-10T14:44:31+00:00 1 Answer 0

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    2021-09-10T14:46:30+00:00

    Answer:  0.4404

    Step-by-step explanation:

    Let the random variable x is normally distributed .

    Given : Mean : \mu=\ 87

    Standard deviation : \sigma= 55

    The formula to calculate the z-score :-

    z=\dfrac{x-\mu}{\sigma}

    For x = 79

    z=\dfrac{79-87}{55}\approx-0.15

    The p-value = P(x<79)=P(z<-0.15)

    =0.4403823\approx0.4404

    Hence, the required probability : P(x<79)=0.4404

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