Page <4> of 5ZOOMProblem #4: Students with the last name of P-T:Please review Section 5.3. Solve the following five problems showing work, using the Poisson Distribution formula from our textbook:POISSON DISTRIBUTIONP(X = x|A)(5.8)%3D%3Dx!whereP(X = xA) = probability that X = x events in an area of opportunity given A1 = expected number of events per unite = mathematical constant approximated by 2.71828x = number of events (x = 0, 1, 2, . . .)1. Let A = 2.0, find P(X > 2). (Round to three decimal places)2. Let A = 0.5, find P(X s 1). (Round to three decimal places)3. Let A = 7.0, find P(X < 3). (Round to three decimal places)4. Let A = 4.1, find P(X 2 1). (Round to three decimal places)5. Let A = 5.1, find P(X s 3). (Round to three decimal places)

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Answered: Problem #4: Students with the last name…

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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Part IV: Sections 5.5-5.7 17. Suppose that the number of defects in a randomly selected one carat diamond of a certain type follows a Poisson distribution with X= 3. By the Central Limit Theorem, what is the approximate (a) distribution of the mean number of defects in the random sample of 40 one carat diamonds? You should give a name for the distribution, as well two associated numerical quantities. (b) the random sample of 40 one carat diamonds, the probability that the sample mean number of defects is less than y is less than 98%. Estimate the largest number of defects y such that in

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