Question: : On average, an electronic device lasts seven years. The length of the time that this device lasts is exponentially distributed. a . What is

: On average, an electronic device lasts seven years. The length of the time that this device
lasts is exponentially distributed.
a. What is the variance of the time that tihs device lasts? Calculate the variance using the pdf.
b. What is the probability that this device will last less than 9 years?
c. What is the probability that this device will last more than 7 years?
d. Given that this device lasts more than 7 years, what is the probability that it will last less than
9 years?
e. Eighty percent of these devices last at most how long?

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