The probabilities of various numbers of failures in a mechanical test are as follows: Pr[0 failures] = 0.21, Pr[l failure] = 0.43, Pr[2 failures] = 0.28, Pr[3 failures] = 0.08, Pr[more than 3 failures] = 0. (a)Show this probability function as a graph with number of failures in x-axis and probability in y-axis. (b)Sketch a graph of the corresponding cumulative distribution function. Hint: cumulative probability in y-axis (c)What is the expected number of failures, E, or the mathematical expectation of the number of failures?

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