If E[X] = 1 and Var(X) = 5, find (a) E[(2 + X)2]; (b) Var(4 + 3X).

Question:

If E[X] = 1 and Var(X) = 5, find
(a) E[(2 + X)2];
(b) Var(4 + 3X).

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

A First Course In Probability

ISBN: 9789332519077

9th Edition

Authors: Sheldon Ross

See More Books

Question Posted: Oct 22, 2015 02:51 AM

See More Questions

4 / 3x 2 = 3x + 5 / 2
If E (W) = and Var (W) =2, show that r(-) Var(W )- =0 and
If 3x < f(x) < x3 + 2 for 0 < x < 2 evaluate lim x1 f(x)
Some observers maintain that not all politicians move toward the middle of the political spectrum in order to obtain votes. They often cite Barry Goldwater in the 1964 presidential election and...
A parent-teacher committee consisting of 4 people is to be formed from 20 parents and 5 teachers. Find the probability that the committee will consist of these people. (Assume that the selection will...
6. Prove that each of the following inequalities holds for all n E N. (a) n < 2n. (b) n2 ~ 2n + 1. (c) n3 ~ 3n . [!]. This exercise is used in Section 2.3. Prove that 0 ~ a < b implies o ~ an < bn...
What ethical issues are involved in implementing major organizational changes in which a large number of associates are laid off? How should these issues be handled?p. 477
A brilliant young scientist is killed in a plane crash. It is anticipated that he could have earned $240,000 a year for the next 50 years. The attorney for the plaintiffs estate argues that the lost...
Bates Inc. pays a dividend of $0.75 and is currently selling for $39.45.If investors require a return of 11percent on their investment from buying Bates stock, what growth rate would Bates Inc. have...
A 30-m3 tank contains 14 m3 of liquid n-butane in equilibrium with its vapor at 25(C. Estimate the mass of n-butanc vapor in the tank. The vapor pressure of n-butane at the given temperature is 2.43...
Find Var(X) and Var(Y) for X and Y as given in Problem 21. Problem 21 Four buses carrying 148 students from the same school arrive at a football stadium. The buses carry, respectively, 40, 33, 25,...
Five men and 5 women are ranked according to their scores on an examination. Assume that no two scores are alike and all 10! possible rankings are equally likely. Let X denote the highest ranking...
Outline a preparation of each of the following compounds from the indicated starting material and any other reagents. (a) p-nitroanisole from p-nitrophenol (b) 2-phenoxyethanol from phenol
The four forces, 400, 500, 600 and 700N are acting along the edges of a 0.8m cube as shown. Represent the resultant of these forces by 1) A force Fr through the point A 2) A couple moment Mr (give...
Problem 1. What is the degree of freedom of the following mechanism? Sliding joint Sliding joint
PILAR Manufacturing Co. has three producing departments (P, I, & L), and two service departments (A&R). The total estimated departmental expenses for 2021 before distribution of service department...
1. A volleyball player serves the ball at point A with an initial velocity vo at an angle of 20 to the horizontal. (a) Determine the minimum velocity of the serve such that the ball will just clear...
9.50. Dipping low ** A top with I = 3/3 floats in outer space and initially spins around its x3 axis with angular speed w3. You apply a strike at the bottom point, directed into the page, as shown in...
What is the effect on output of replacing high minimum prices with grants to farmers unrelated to current production?
Determine whether the lines are parallel, perpendicular, or neither. 2x + 3y = -12, 2y - 3x = 8
WebTrust relates to ; SysTrust focuses on . a. Electronic commerce, enterprise systems b. System reliability, enterprise systems c. Electronic commerce, system reliability d. Internal control, risk...
Let X 1 , X 2 , X 3 , X 4 , X 5 be independent continuous random variables having a common distribution function and density function f, and set I = P{X 1 < X 2 < X 3 < X 4 < X 5 } a. Show that does...
The joint probability density function of X and Y is given by Find (a) P{X < Y} and (b) P{X < a}. f(x, y) = e-(*+y) 0Sx < 0,0 sy <
The joint probability density function of and is given by a. Verify that this is indeed a joint density function. b. Compute the density function of X. c. Find P{X > Y}. d. Find e. Find E[X]. f. Find...
Production numbers for 2 shifts are shown. The shift supervisor of Shift 2 insists to the production manager that her operators are more productive than the ones on Shift 1. Using a confidence level...
In a class, the scores that students got are as shown. What are the 25, 50, 75 and 100th percentiles for the data? 84 84 98 80 89 83 85 56 85 84 84 74 84 81 83 80 45 86 67 79 81 78 76 85 83 77 86 83...
Number of points made by Teams A and B are shown. Which statement is true based on running the F-Test Two-Sample for Variances in the Data Analysis pack in Excel? Use a confidence level of 10% to...

If E[X] = 1 and Var(X) = 5, find (a) E[(2 + X)2]; (b) Var(4 + 3X).

Question:

Step by Step Answer:

a E2 X 2 Var 2 ...View the full answer

A First Course In Probability

Students also viewed these Statistics questions