Suppose a coin having probability 0.7 of coming up heads is tossed three times. Let X denote the number of heads that appear in three tosses. Answer the following questions.
(a) Construct the probability mass function(PMF)of X.
(b) Construct the cumulative distribution function
(CDF) of X.
(c) Compute the probability that at least two heads appear in three tosses.
(d) Find the expected value of X.
(e) Compute the standard deviation of X