The time to failure of a battery in hours of a personal handheld music device follows an exponential distribution. The expected battery life is 2000 hours.
a) Give the appropriate pdf
b) Calculate the cdf. F(X) = P(X
c) What is the expected value and standard deviation in days?
d) What is the probability that a randoly chosen device has a battery that lasts over 2100 hours?
e) Suppose a family of 6 each purchases a new personal handheld music device. What is the probablilty that all 6 of the devices last over 2100 hours?