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4. The discrete random variable X has the probability distribution given by -1 3. POX =x) 12 where a is a constant. (a) Find the value of a (b) Find the value of the expectation value of X. E(X). (c) Find the value of the variance of X, Var(X). 116

4. The discrete random variable X has the probability distribution given by -1 3. POX =x) 12 where a is a constant. (a) Find the value of a (b) Find the value of the expectation value of X. E(X). (c) Find the value of the variance of X, Var(X). 116

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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4. The discrete random variable X has the probability distribution given by -1 1. 2. 3. P(X = x) 1. 12 where a is a constant. (a) Find the value of a (b) Find the value of the expectation value of X. E(X). (c) Find the value of the variance of X, Var(X). (d) Find the value of the deviation of X, oX). (e) Find P (X s0), F (0). () Find P (Xs2), F(2). X is coded to generate Y according to Y =5+ 3X tg) Find the value of the expectation value of Y. E(Y). (h) Find the value of the variance of Y. VartY). (i) Find the value of the deviation of Y. a (Y). 5. The revenue function for a certain product is given by y3120+58x-x' where x is the quantity and y is the revenue. The curve of this function is shown below. Qwati. O 3. Reveme. R F/6
Transcribed Image Text:4. The discrete random variable X has the probability distribution given by -1 1. 2. 3. P(X = x) 1. 12 where a is a constant. (a) Find the value of a (b) Find the value of the expectation value of X. E(X). (c) Find the value of the variance of X, Var(X). (d) Find the value of the deviation of X, oX). (e) Find P (X s0), F (0). () Find P (Xs2), F(2). X is coded to generate Y according to Y =5+ 3X tg) Find the value of the expectation value of Y. E(Y). (h) Find the value of the variance of Y. VartY). (i) Find the value of the deviation of Y. a (Y). 5. The revenue function for a certain product is given by y3120+58x-x' where x is the quantity and y is the revenue. The curve of this function is shown below. Qwati. O 3. Reveme. R F/6
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