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) Calculate the cumulative density function, F(x)=P(X
b) What is the probability that a randomly chosen device has a battery that lasts over 2100hours?
c) Suppose a family of 6 each purchases a new personal handheld music device. What is the probability that 5 or more of the devices last over 2100 hours?