Book: RD Sharma - Mathematics (Volume 2)
Chapter: 33. Binomial Distribution
Subject: Maths - Class 12th
Q. No. 5 of Exercise 33.2
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5
Determine the binomial distribution whose mean is 20 and variance 16.
Let X denote the variance with parameters n and p
p + q = 1 ⇒ q = 1 - p
Given, mean = np = 20 and variance = npq = 16
npq = 16
⇒20q = 16
Now, np = 20
⇒ n = 100
∴ n = 100 and
The required binomial distribution is given by,
