1. Let X be a binomial random variable with n = 20 and p = 0.1.a) Find the formula for the probability distribution of X.b) Calculate P(X < 4).c) Calculate the mean and standard deviation of X.d) Use the results of part c to calculate the intervals u ±0, u± 20, and u ± 30. Find theprobability that an observation will fall into each of these intervals.

We have given that Number of trials n=20 Success of probability p =0.1 X~binomial ( n ,p) NOTE:-…

Answered: Let X be a binomial random variable…

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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Let X be a binomial random variable with n = 20 and p = 0.1. a) Find the formula for the probability distribution of X. b) Calculate P(X < 4). c) Calculate the mean and standard deviation of X.