The time it takes a mechanic to change the oil in a car is exponentially distributed with a mean of 5 minutes
a. What is the probability density function for the time it takes to change the oil?
b. What is the probability that it will take a mechanic less than 6 minutes to change the oil?
c. What is the probability that it will take a mechanic between 3 and 5 minutes to change the oil?
d. What is the variance of the time it takes to change the oil?
a. f(x) =(1/5) e-x/5 for x 0
b. 0.6988
c. 0.1809
d. 0.25
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