M-4 please help me with the below problem with step by step explanation clearly.Needed all parts clearly, please. 4. The number X of calls coming into Campus Safety follows a Poisson distribution with parameter1 = 5. The probability that any particular call is a prank call is 0.2, independent of any other call.Let Y be the number of prank calls received. This means that, given a value r for X, the variableY is binomial with r trials and parameter 0.2.(a) Determine E(Y |X = x) and V(Y | X = x).(b) Use the previous part and the laws of total expectation and variance to find E(Y) and V(Y)(c) Show that Y also has a Poisson distribution. Find its parameter and verify your answer tothe previous item that way.

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Answered: is binomia triáls and parameter (a)…

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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is binomia triáls and parameter (a) Determine E(Y | X = x) and V(Y |X = x). (b) Use the previous part and the laws of total expectation and variance to find E(Y) and V(Y) (c) Show that Y also has a Poisson distribution. Find its parameter and verify your answer to the previous item that way.