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7 August, 02:42

Assume that X has a normal distribution, and find the indicated probability. The mean is u=15.2 and the population standard deviation is 0.9. Find the probability that X is greater than 15.2

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Answers (2)
  1. 7 August, 05:02
    0
    0.5

    Step-by-step explanation:

    First, find the z score.

    z = (x - μ) / σ

    z = (15.2 - 15.2) / 0.9

    z = 0

    Use a calculator or z-score table to find the probability.

    P (X > 15.2)

    = P (Z > 0)

    = 0.5
  2. 7 August, 05:15
    0
    Answer: the probability that X is greater than 15.2 is 0.5

    Step-by-step explanation:

    Assume that X has a normal distribution, we would apply the formula for normal distribution which is expressed as

    z = (x - µ) / σ

    Where

    µ = mean

    σ = standard deviation

    From the information given,

    µ = 15.2

    σ = 0.9

    We want to find the probability that X is greater than 15.2. It is expressed as

    P (x > 15.2) = 1 - P (x ≤ 15.2)

    For x = 15.2

    z = (15.2 - 15.2) / 0.9 = 0

    Looking at the normal distribution table, the probability corresponding to the z score is 0.5
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