Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Let X be a random variable having binomial distribution B(7, p). If P(X = 3) = 5P(X = 4), then the sum of the mean and the variance of X is :
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
C
B (7, p)
n=7 p=p
given
P(x = 3) = 5P(x = 4)
7 C 3 xp 3 (1-p) 4 =5. 7 C 4 p 4 (1-p) 3
1-p=5p
6p=1
n=7
Mean = np = 7 x 
Var=npq =7x 
x 
= 
Sum
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