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3. Consider a random variable X whose probability mass function is given by if x = -2 if x = 0 p(x): 0.1 0.1 0.3 0.5a 2a0.5 0 if x = 2.2 x = 3 x = 4 if if otherwise a) What is a? b) Compute P(X2 -2>6). c) Sketch a plot of the function F(x). (Make sure to label the coordinates on the axes)

3. Consider a random variable X whose probability mass function is given by if x = -2 if x = 0 p(x): 0.1 0.1 0.3 0.5a 2a0.5 0 if x = 2.2 x = 3 x = 4 if if otherwise a) What is a? b) Compute P(X2 -2>6). c) Sketch a plot of the function F(x). (Make sure to label the coordinates on the axes)

A First Course in Probability (10th Edition)
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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3. Consider a random variable X whose probability mass function is given by if x = -2 if x = 0 if x = 2.2 x = 3 x = 4 p(x) = 0.1 0.1 0.3 0.5a 2a -0.5 0 if if otherwise a) What is a? b) Compute P(X² -2> 6). c) Sketch a plot of the function F(x). (Make sure to label the coordinates on the axes) d) What is P(2X-3≥2|X≥2.1)? e) Compute E(X).
Transcribed Image Text:3. Consider a random variable X whose probability mass function is given by if x = -2 if x = 0 if x = 2.2 x = 3 x = 4 p(x) = 0.1 0.1 0.3 0.5a 2a -0.5 0 if if otherwise a) What is a? b) Compute P(X² -2> 6). c) Sketch a plot of the function F(x). (Make sure to label the coordinates on the axes) d) What is P(2X-3≥2|X≥2.1)? e) Compute E(X).
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