Height of 10th grade boys is normally distributed with a mean of 63.5 in. and a standard deviation of 2.9 in. The area greater t

Question

Height of 10th grade boys is normally distributed with a mean of 63.5 in. and a standard
deviation of 2.9 in.
The area greater than the Z-score is the probability that a randomly selected 14-year
old boy exceeds 70 in.
What is the probability that a randomly selected 10th grade boy exceeds 70 in.?

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Ngọc Diệp 3 years 2021-08-30T17:29:51+00:00 1 Answers 12 views 0

Answers ( )

  1. Eirian
    0
    2021-08-30T17:30:55+00:00
    Reply

    Answer:

    P(Z>2.24) = P(70<X<1e99) = 1.25%

    Step-by-step explanation:

    Calculate Z-score:

    Z=(x-μ)/σ

    Z=(70-63.5)/2.9

    Z=6.5/2.9

    Z=2.24

    Find area greater than Z-score:

    P(Z>2.24) = P(70<X<1e99) = normalcdf(70,1e99,63.5,2.9) = 0.0125

    So the probability that a randomly selected 10th-grade boy exceeds 70 inches is a 1.25% chance.

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