Suppose that for the firing of the four boosters of the Mangalyaan Mars Orbiter, there is a constant probability of failure (say 0.10). Let X be the number of boosters that fail.
(a) What distribution does X follow? Completely identify the distribution.
(b) Calculate P[X = 2].
(c) Calculate P[X ? 1].
(d) Find E(X).
(e) Find the standard deviation of X.