Determine the cumulative distribution function of a binomial random variable with n = 3 and p = 1/4.
Added by Jacqueline S.
Step 1
In our case, n = 3 and p = 1/4, so the CDF becomes: F(k) = P(X ≤ k) = ∑_{i=0}^{k} (3 choose i) (1/4)^i (3/4)^(3-i) We can simplify this expression by computing the binomial coefficients and the powers of 1/4 and 3/4: F(0) = P(X ≤ 0) = (3 choose 0) (1/4)^0 Show more…
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