A certain component has a failure rate of 0.3 per hour. Assuming an exponential distribution calculate the following:
(a) the probability of failure in a 4-h period;
(b) the probability of failure in a 30-min period;
(c) the probability that a component functions for 1 h and then fails to function in the second hou
(d) of a group of five components the probability that exactly two fail in an hour.