Answered: 4) A random variable X takes follows a…

4) A random variable X takes follows a binomial distribution B(n, p). It is known that E(X) = 36 and the standard deviation of X is 3. Find the values of n & p.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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4) A random variable X takes follows a binomial distribution B(n, p). It is known that E(X) = 36 and the standard
deviation of X is 3. Find the values of n & p.
Solution?
E(X) = np = 36
o = 3 = /np(1 – p)
3
3 = /36(1 – p) → 3 = 6/1- p →
= 1-p → p = 1:
4
--
= 36 →
n = 48

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