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Take a Test-Dustin Smith Microsoft Edge B mathxl.com/Student/Player Test aspx?testld 1541095 128centerwinisyes Quiz: Q 08. This Question: 1 pt 5 of 6 (1 complet suppose that the commuting time on a train is distrbuted between 67 and 87 minutes a What thatthe commuti the probability that the commuting time will be greater than 74 minutes? d. What are the mean and standard deviaton of the commuting time? a. The probability that the commuting time will be less han 81 minutes (Type an integer or a decimal.) b The probability that the commuting tme will be between 75 and 82 minutes is Type an integer or a decimal) The probability that the commuting time will be geater than 74 is integer or a decimal) d. The mean of the given uniform distribution is (ype an integer or a decimal.) The standard deviation of the given uniform distribution is o (Round to four decimal places as needed) Enter your answer in each of the answer boxes

Explanation / Answer

The uniform distribution is given by :

p(x=a) = a-k / m-k. where m,k are 87 and 67 respectively

a. P(X<81) = 81-67 / 87-67 = .30

b. P(75<X<82) = 82-75 / 87-67 = .135

c. P(X>74) = 81-64 / 87-67 = .85

d. Mean = 87+67/2 = 77

Stdev = (87-67)^2/12 = 33.3333

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