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.