A coin is biased such that a head is thrice as likely to occur as a tail. Find the probability distribution of heads and also find the mean and variance of the distribution when it is tossed 4 times.
See http://www.stat.yale.edu/Courses/1997-98/101/binom.htm
Let p be the probablility of heads = 0.75
Nor N = 4 tosses, the mean number is N*p = 3 and the variance is
sigma^2 =
p(1-p)N = (1/4)*(3/4)*4 = 3/4
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