If a random variable has the following probability density functionfor 0 < x < 1for 1 < x < 2elsewhere0,(a) Find k, (b) find the probability distribution function F(x), (c) Find the probability that thatthe random variable takes on a value between 0.5 and 1.5, (d) find the mean and the variancefor this probability density.(2k,f(x) = k₁k,

As per bartleby guidelines we can solve only first three subparts and rest can be reposted

Answered: a random variable has the following…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

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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