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Your driving time to work  (continuous random variable) is between 28 and 67 minutes if the day...

Your driving time to work  (continuous random variable) is between 28 and 67 minutes if the day is sunny, and between 44 and 86 minutes if the day is rainy, with a uniform probability density function in the given range in each case.

Assume that a day is sunny with probability  = 0.19 and rainy with probability .

Your distance to work is  = 50 kilometers. Let  be your average speed for the drive to work, measured in kilometers per minute:

Compute the value of the probability density function (PDF) of the average speed  at  = 1.4

Round your answer to five decimal digits after the decimal point.

Math   Statistics-And-Probability   
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