alleryStart learning →For X following B(n, p) with 0 < p < 1, how do Var(X) and E(X) compare?
AVar(X) is always smaller
BVar(X) is always larger
CThey are always equal
DIt depends on n only
Answer & Solution
Correct answer: A. Var(X) is always smaller
Var(X) = npq = (np)q, and q is less than 1, so the variance is below the mean.
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