Hi, I need some help for question a, b and d. And also can you write me for all the question answer? Please do not copy chatgpt. Please Please! I need more explain. I do not know how to do that. Please write clear! Thanks! Consider the random variable X with support Sxtion given byP(X = k)C{;)*=={0, 1,2,...} and probability mass func-for xotherwise0,1,2,...where c > 0 is an as-of-yet undetermined constant.(a) Find the value of c that ensures P(X = k) is a valid probability mass function.(b) Calculate P(X > 2).(c) Calculate P(X = 2 | X≥ 2).(d) Find a closed-form expression for Fx(x), the cumulative distribution function of X.

The pmf of X P(X=k)=c(1/5)k for x=0,1,2,3..a..to find value of c b.. P(X≥2)d.. cdf of X

= Consider the random variable X with support Sx tion given by k » - {. ()* = 0 P(X= k): {0,1,2,...} and probability mass func- for x = 0,1,2,... otherwise where c> 0 is an as-of-yet undetermined constant. (a) Find the value of c that ensures P(X = k) is a valid probability mass function. (b) Calculate P(X ≥ 2). (c) Calculate P(X=2| X > 2). (d) Find a closed-form expression for Fx(x), the cumulative distribution function of X.

= Consider the random variable X with support Sx tion given by k » - {. ()* = 0 P(X= k): {0,1,2,...} and probability mass func- for x = 0,1,2,... otherwise where c> 0 is an as-of-yet undetermined constant. (a) Find the value of c that ensures P(X = k) is a valid probability mass function. (b) Calculate P(X ≥ 2). (c) Calculate P(X=2| X > 2). (d) Find a closed-form expression for Fx(x), the cumulative distribution function of X.

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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