Probability Question 241

Question: If X follows a binomial distribution with parameters $ n=6 $ and p. If $ 9P(X=4)=P(X=2), $ then $ p= $

Options:

A) $ \frac{1}{3} $

B) $ \frac{1}{2} $

C) $ \frac{1}{4} $

D) 1

Show Answer

Answer:

Correct Answer: C

Solution:

$ 9.{}^{6}C_4p^{4}q^{2}={}^{6}C_2p^{2}q^{4} $

Putting $ q=1-p, $ we get required result.