Binomial Expansion - What is the coefficient of x5 in exp anion of (x+3)8
Working with Binomial distribution - A die is rolled 12 times. Find the probability of rolling the following.
(a) Exactly 6 ones
(b) Exactly 2 ones
Binomial Expansion in a Ring - Let p be a prime. Show that in the ring Z-p (set of integers modulo p) we have (a+b)^p = a^p+b^p for all a, b in Z-p. The following hint was given: observe that the usual binomial expansion for (a+b ...
Binomial Distributions and Unbiased Estimators - Let X have a binomial distribution with parameters n and p. The variance of X/n p(1-p)/n; this is sometimes estimated by the m.l.e X/n(1 - X/n)/n. Is this an Unbiased estimator of p(1-p)/n. If not, an ...