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

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.4: Expected Value
Problem 1E: If a game gives payoffs of $10 and $100 with probabilities 0.9 and 0.1, respectively, then the...
icon
Related questions
Question
only 4th
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
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning