3. A cumulative distribution function of a discrete random variable X is given as %3D 1s x< 2 F (x) = { 8 2s x< 3 k+5 3s x< 4 %3D 5k X24 10 where k is a constant. (a) Show thatk 2. (b) Find the median of the distribution. (c) Use F) to calculate P(2 s X < 4). (d) Find the probability distribution function of X. (e) Determine the mean and variance of X. 0k一8

3. A cumulative distribution function of a discrete random variable X is given as %3D 1s x< 2 F (x) = { 8 2s x< 3 k+5 3s x< 4 %3D 5k X24 10 where k is a constant. (a) Show thatk 2. (b) Find the median of the distribution. (c) Use F) to calculate P(2 s X < 4). (d) Find the probability distribution function of X. (e) Determine the mean and variance of X. 0k一8

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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