Answered: Using the Binomial Distribution…

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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Related questions

Question

Using the
Binomial Distribution formula, compute the probability of X successes with the following
parameters:
a.) n = 6, X = 3, p = 0.03.
b.) n = 4, X = 2, p = 0.18.
c.) n = 5, X = 3, p = 0.63.
e.) n = 9, X = 0, p = 0.42.
d.) n = 10, X = 5, p = 0.37

Expert Solution

Step 1: Write the binomial distribution

A random variable X is said to follow the binomial distribution if the PMF of random variable X is -

$P left parenthesis X equals x right parenthesis equals open curly brackets table row cell open parentheses table row n row x end table close parentheses p to the power of x left parenthesis 1 minus p right parenthesis to the power of n minus x end exponent space space comma space x equals 0 comma space 1 comma space 2 comma space 3 comma.... comma space n. end cell row cell 0 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space comma space o t h e r w i s e end cell end table close$

The probabilities need to be calculated.