Assignment:
The time to failure in hours of an important piece of electronic equipment used in a manufactured DVD player has the density function.
(a) Find F(x).
(b) Determine the probability that the component (and thus the DVD player) lasts more than 1000 hours before the component needs to be replaced.
c) Determine the probability that the component falls before 2000 hours.
(d) Find the mean time to failure of the given random variable.
(e) Find the variance and standard deviation of time to failure of the electronic equipment.