Answered: Suppose that the random variable X is…

Suppose that the random variable X is the number of successes in a Poisson process with mean 3.06. Choose one from the following which is closest to the correct answer. O a. P(X < 4) = 0.8051.

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

Suppose that the random variable X is the number of successes in a Poisson process with mean
3.06. Choose one from the following which is closest to the correct answer.
O a. P(X < 4) = 0.8051.
O e. P(X> 4) = 0.1949.
O b. P(X ≥ 4) =
O d. P(X ≤ 4) = 0.6338.
O c. P(X> 4) = 0.1048.
= 0. 1949.

Expert Solution

Step 1: Given that

Mean $lambda equals 3.06$

We use the Poisson probability formula:

$P left parenthesis X equals x right parenthesis equals fraction numerator e to the power of negative lambda end exponent lambda to the power of x over denominator x factorial end fraction$

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