From the U.S. Census Bureau and the article “U.S. Prison Population Falls for Third Year” by B. Montopoli of CBS News, we found that about 1 in every 200 Americans are in prison. Suppose 500 Americans are randomly sampled. Let X represents the number of Americans currently in prison.n =λ = (Round to two decimal places)Calculate the probability that three of the 500 Americans are currently in prison. Round your answer to four decimal places, e.g., 0.XXXX or .XXXX.P(X = 3) =Calculate the probability that at least three of the 500 Americans are currently in prison. Round your answer to four decimal places, e.g., 0.XXXX or .XXXX.P (X ≥ 3) = 1 – P (X < 3) =Calculate E(X) = µ. Round your answer to two decimal places, e.g., 0.XX or .XX.µ = E(X) =Calculate the standard deviation of X. Round your answer to two decimal places, e.g., 0.XX or .XX.σ =

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Answered: From the U.S. Census Bureau and the…

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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From the U.S. Census Bureau and the article “U.S. Prison Population Falls for Third Year” by B. Montopoli of CBS News, we found that about 1 in every 200 Americans are in prison. Suppose 500 Americans are randomly sampled. Let X represents the number of Americans currently in prison.

n =
λ = (Round to two decimal places)
Calculate the probability that three of the 500 Americans are currently in prison. Round your answer to four decimal places, e.g., 0.XXXX or .XXXX.

P(X = 3) =

Calculate the probability that at least three of the 500 Americans are currently in prison. Round your answer to four decimal places, e.g., 0.XXXX or .XXXX.

P (X ≥ 3) = 1 – P (X < 3) =