find the probability that the first success occurs on trial number

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Given a binomial experiment with probability of success on a single trial 

p = 0.40,

 find the probability that the first success occurs on trial number 

n = 3.

 (Round your answer to three decimal places.)

Expert Solution
Step 1

Let , X be the number of success

Here , X→B(n=3 , p=0.40)

The probability mass function of X is , 

P(X=x)=nxpxqn-x ; x=0,1,2,.......,n and q=1-p

= 0 ; otherwise

Our aim is to find the P(X=1)

 

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