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27 November, 11:42

The time to fly between New York City and Chicago is uniformly distributed with a minimum of 120 minutes and a maximum of 150 minutes. A. What is the probability that a flight is more than 140 minutes? B. What is the distribution's mean? C. What is the distribution's standard deviation? D. What is the probability that a flight is less than 135 minutes?

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  1. 27 November, 14:03
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    a) 33.33%)

    b) 135 minutes

    c) 8.66 min

    d) 50%

    Step-by-step explanation:

    a) the probability for a uniform distribution is

    P (b
    therefore the probability that the flight is more than 140 minutes (and less than 150 since it is the maximum value)

    P (140
    b) the mean (expected value) for a uniform probability distribution is

    E (X) = (c+d) / 2 = (120+150) / 2 = 135 minutes

    c) the standard deviation for a uniform probability distribution is

    σ² (X) = (c-d) ²/12 = (150-120) ²/12 = 75 min²

    σ = √75 min² = 8.66 min

    b) following the same procedure as in a)

    P (120
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