Let X be a binomially distributed random variable B(n,p) with E(X) =2 and Var(X) = 4/3. Find n and p.
Answer: n=6 and p = 1/3
given that E(X) = 2
In a binomial distribution E(X) = np and variance = npq
Hence np =2 and npq = 4/3
Divide npq by np to get q
q = 2/3
p = 1-q =1/3
np = 2
n = 2(3) =6
n=6 and p = 1/3
Mathematics
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