Consider n independent trials of a "success-failure" experiment (with probability of success being p). Let X be the rndom variablw that denotes the total number of "successes" in n trials.  a) what are the values that the random variablr X takes? b) write down the expression which calculates the probability for X= k "successes": P(X=k) c) provided E(X)= np; show that Var(X)= np(1-p)

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