A random variable X has a p.d.f. f(x) given byS(x)=ke-3xx>0otherwisea. Find the constant k.b. Find the cumulative distribution function of X.c. Find P(0.5 < X<1)

Given,f(x)={ke-3x; x>00; otherwise

Answered: A random variable X has a p.d.f. f(x)…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

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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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A random variable X has a p.d.f. f(x) given by S(x) = {^e²) x>0 otherwise ke-3x a. Find the constant k. b. Find the cumulative distribution function of X. c. Find P(0.5 < X < 1)