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12 June, 17:09

In a study of wait at an amusement park, the most popular roller coaster has a mean wait time of 17.4 minutes with a standard deviation of 5.2 minutes. If 14 days are randomly selected, find the probability that the mean wait time is between 10 & 20 minutes.

A: 0.9693

B: 0.0471

C: 0.6713

D: 0.9470

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Answers (2)
  1. 12 June, 17:58
    0
    Answer 0.6713
  2. 12 June, 18:57
    0
    Option A is right

    0.9693

    Step-by-step explanation:

    X is a random variable

    X is normal with mean time = 17.4 minutes

    Std deviation = 5.2 minutes

    No of days = 14

    Sample size = 14

    Std error = std dev / sq rt 14

    =1.39

    Required probability

    =P (10
    =P (-7.4/1.39
    = P (-5.32
    =0.9693

    Option A is right
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