Answered: find the probability that the first…

Math

Statistics

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

Section: Chapter Questions

Problem 1P

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Question

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.)

Video Video

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 ,

$P (X = x) = (\binom{n}{x}) p^{x} q^{n - x}$ ; x=0,1,2,.......,n and q=1-p

= 0 ; otherwise

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

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