The life span in hours of an electrical component is a random variable with cumulative distribution function F(x) = 1 – e-x/50 x > 0, and 0 otherwise. Determine 2, (a) its probability density function. (b) the probability that the life span of such a component will exceed 70 hours. (c) If such a component is in function for 30 hours, determine the probability that it will last at least another 70 hours.
