The time to failure, X measured in hours, of a computer that guide a 4-engine aircraft has the pdf:
f(x)=c*e^-0.0006x for x>= 0
= 0 for x< 0
(a) Determine the constant c such that f(x) is a probability density function (pdf).
(b) Find the expected value (E(x)) of X.
(c) Find the standard deviation of x.
(d) Find the cumulative distribution function (cdf) and graph it.
(e) What is the 75th percentile of the distribution.