2Let the distribution function of a random variable y beF(y)f(y) =0,y8y²162 ≤ y < 4,y ≥ 4.(a) Find the density function of Y.y ≤ 0,0 < y < 2,1,IIIy ≤ 0,0 < y < 2,2 ≤y < 4,y ≥ 4(b) Find P(1.50 ≤ Y ≤ 2.75). (Round your answer to four decimal places.)(c) Find P(Y≥ 2.00). (Round your answer to four decimal places.)(d) Find P(Y≥ 1.50|Y≤ 2.75). (Round your answer to four decimal places.)

The distribution function is given by

Answered: Let the distribution function of a…

A First Course in Probability (10th Edition)

10th Edition

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Author:Sheldon Ross

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Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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