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?
What will be an ideal response?
| a. | f(x) =(1/5) e-x/5 for x 0 |
| b. | 0.6988 |
| c. | 0.1809 |
| d. | 0.25 |
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