Question

If in a binomial distribution n=4 and P(X=0)=dfrac1681, then P(X=4) equals

• A. \(\dfrac{1}{16}\)
• B. \(\dfrac{1}{81}\)
• C. \(\dfrac{1}{27}\)
• D. (1)/(8)

Hint:

Use P(X=0)=(1-p)ⁿ to find p.

Answer 1

The Correct Option is B

(1-p)⁴=(16)/(81)⟹ 1-p=(2)/(3)⟹ p=(1)/(3) P(X=4)=p⁴=(1)/(81)