Let X have density fx(x) = 1/3 e-x/3 for 0 < x and fx(x) = 0 otherwise.

Question:

Let X have density
fx(x) = 1/3 e-x/3
for 0 < x
and fx(x) = 0 otherwise.
a. Find the expected value of X2, i.e., E(X2).
b. Find the variance Var(X).
c. Find the standard deviation ox-

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

Step by Step Answer:

Related Book For book-img-for-question

Introduction to Probability

ISBN: 978-0716771098

1st edition

Authors: Mark Daniel Ward, Ellen Gundlach

See More Books

Question Posted: Mar 14, 2016 06:42 AM

See More Questions

Let X have density Find E(X). for 3 < x < 4. otherwise. 0
Let X have density Find E(X). for 0 < <1, 0 otherwise
Let X have density fx (x) = l/5, for 2 x 7 and fx (x) = 0 otherwise. a. Find P{X > 3). b. Find the CDF Fx (x). c. Find P(X < 5). d. Find P(X > 8). e. Find P(5 X 6.5). f. Find P(X < 1). g. Graph...
Which of the following is not a strategic disadvantage of vertical integration? Vertical integration poses all kinds of capacity-matching problems (achieving the most efficient scale of operation for...
Defining the codes for a chart of accounts is no big deal(nothing is permanent(I can change it at any time in the future. Why do you agree (or disagree) with this statement?
What is the difference between gross pay and net pay for an employee?
Did career experience or gender influence the results within the groups? LO.1
Jim is the owner and president of ZZZ Company. He and his close friend, Dan, graduated with MBAs. They always dreamed about being successful and making lots of money. They have worked in the same...
Applying the accounting equation LO 7 Determine the missing amount for each of the following equations: Asset = Liabilities + Equity $ 7 5 , 0 0 0 $ 4 0 . 5 0 0 ? $ 3 0 0 . 0 0 0 ? $ 8 5 , 5 0 0 ? $...
Teresina Amusement Park, SA has a fiscal year ending on September 30. Selected data from the September 30 worksheet are as follows. Instructions (a) Prepare a complete worksheet. (b) Prepare a...
Geoffrey does not like to be low on gas, so he randomly stops to fill up his tank. He has a 14-gallon tank, and the current price of gas is $3.75 per gallon. Whenever he stops to buy gas, he always...
Let X and Y correspond to the horizontal and vertical coordinates in the triangle with corners at (2, 0), (0, 2), and the origin. Let fX,Y(x,y) = 15/28(xy2 + y) for (x,y) inside the triangle, and...
A sample space S consists of five simple events with these probabilities: P(E1) = P(E2) = .15P(E3) = .4 P(E4) = 2P(E5) a. Find the probabilities for simple events E4 and E5. b. Find the probabilities...
Obtain the phase trajectories for a system governed by the equation \[\ddot{x}+0.4 \dot{x}+0.8 x=0\] with the initial conditions $x(0)=2$ and $\dot{x}(0)=1$ using the method of isoclines.
Indicate whether each of the following accounts normally has a debit balance or a credit balance. a. Land b. Dividends c. Accounts Payable d. Unearned Revenue e. Consulting Revenue f. Salaries...
Indicate whether each of the following accounts normally has a debit or credit balance. a. Common Stock b. Retained Earnings c. Land d. Accounts Receivable e. Insurance Expense f. Cash g. Dividends...
Match each of the items in the left column with the LO5, 6 appropriate annual report component from the right column: 1. The company's total liabilities 2. The sources of cash during the period 3. An...
Allegra Company has sales of $$167,000$ and a bicak-even sales point of $$123,000$. Compute Allegra s margin of safety and its margin of safety ratio.
Provide JUnit test class TaxReturnTest with three test methods that test different tax situations for the TaxReturn class in Chapter 5.
An auto-parts manufacturer is considering establishing an engineering computing center. This center will be equipped with three engineering workstations each of which would cost $25,000 and have a...
Why are properties turning to telemarketing as a sales tool?
In Exercise 3.19, Consumer Reports gave the prices for the top 10 LCD high definition TVs (HDTVs) in the 30- to 40-inch category: Does the price of an LCD TV depend on the size of the screen? The...
Refer to the data in Exercise 12.7. The normal probability plot and the residuals versus fitted values plots generated by MINITAB are shown here. Does it appear that any regression assumptions have...
What diagnostic plot can you use to determine whether the assumption of equal variance has been violated? What should the plot look like when the variances are equal for all values of x?
Difference between Operating Leverage and Financial Leverage
bpmn diagram for misc purchases
You have $55,000. You put 15% of your money in a stock with an expected return of 10%, $38,000 in a stock with an expected return of 18%, and the rest in a stock with an expected return of 22%. What...

Let X have density fx(x) = 1/3 e-x/3 for 0 < x and fx(x) = 0 otherwise.

Question:

Step by Step Answer:

a b VarX ...View the full answer

Introduction to Probability

Students also viewed these Statistics questions