Let X have the standard normal pdf, fx(x) = (l/2)e-x2/2. (a) Find EX2 directly, and then by
Question:
(a) Find EX2 directly, and then by using the pdf of Y = X2 from Example 2.1.7 and calculating E Y.
(b) Find the pdf of Y = |X|, and find its mean and variance.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 66% (12 reviews)
a Using integration by parts with u x and dv xe x2 2 dx then Using example 217 let Y X 2 Then Th...View the full answer
Answered By
Charles mwangi
I am a postgraduate in chemistry (Industrial chemistry with management),with writing experience for more than 3 years.I have specialized in content development,questions,term papers and assignments.Majoring in chemistry,information science,management,human resource management,accounting,business law,marketing,psychology,excl expert ,education and engineering.I have tutored in other different platforms where my DNA includes three key aspects i.e,quality papers,timely and free from any academic malpractices.I frequently engage clients in each and every step to ensure quality service delivery.This is to ensure sustainability of the tutoring aspects as well as the credibility of the platform.
4.30+
2+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Statistics questions
-
Let X have the pdf f(x|0) = 0tx-1e-0x *00 >x>0
-
Let X have the standard normal distribution, and let Y have the t distribution with five degrees of freedom. Explain why c = 1.63 provides the largest value of the difference Pr(c < X < c) Pr(c < Y...
-
Let X have the Find the pdf of Y = X2. f(x) xe-x2/2, 0 = < x < 00
-
In an organization, leaders treat employees as ends when they ______. Multiple choice question. restrict employees' choices allow employees to create their own purposes assume that the employees'...
-
Access the Yahoo! (ticker: YHOO) 10-K report for the year ended December 31, 2009, filed on February 26, 2010, at www.sec.gov. Required 1. What amount of goodwill is reported on Yahoo!s balance...
-
Compute contribution margin. LO.1
-
Describe the performance management cycle.
-
(1) Are these myths? Explain why each is either true or a myth. (2) Is it true that: You Can Win Customers Just by Lowering Your Prices? Explain (3) Would you say that you should never Form a...
-
Tiger Furnishings produces two models of cabinets for home theater components, the Basic and the Dominator. Data on operations and costs for March follow: Units produced Machine-hours Direct...
-
1. Dealing with dissatisfied and disgruntled customers is, perhaps, one of the greatest sources of conflict for retailers. Is Nordstroms approach to customer service and customer relationship...
-
In Theorem 2.1.10 the probability integral transform was proved, relating the uniform cdf to any continuous cdf. In this exercise we investigate the relationship between discrete random variables and...
-
A random right triangle can be constructed in the following manner. Let A be a random angle whose distribution is uniform on (0,Ï/2). For each X, construct a triangle as pictured below. Here, Y...
-
In Exercises 75 through 82, solve the given quadratic equation by completing the square. 21x 2 + 11x 2 = 0
-
The amounts of caffeine in a sample of five-ounce servings of brewed coffee are shown in the histogram. Number of 5-ounce servings S 25- 20 15 10 25 12 10 1 2 70.5 92.5 114.5 136.5 158.5 Caffeine (in...
-
Tom, David, Dale, and Murdock are four business students who want to rent a four- bedroom apartment together for the fall semester. They have identified the three factors important to them in...
-
Listed below, out of order, are the steps in an accounting cycle. 1. Prepare the unadjusted trial balance. 2. Post journal entries to general ledger accounts. 3. Analyze transactions from source...
-
Consider Quick Start QFD Matrix 2 above. Which two technical specifications are strongly correlated with each other? Quick Start QFD Matrix 2 Strong positive correlation Some positive correlation ==...
-
A cylindrical solenoid of length \(\ell\) and radius \(R\) has \(n\) windings per unit length and carries a current \(I\). (a) Use the inductance expression \(L=\left(\mu_{0} N^{2} A ight) / \ell\)...
-
For each of the following, state what method applies and how one applies it, but do not evaluate the integral. fxs x sin x dx
-
What are the principal differences among asset liquidity management, liability management, and balanced liquidity management?
-
Let X1 and X2 have independent gamma distributions with parameters α, θ and β, θ, respectively. Let W = X1/(X1 + X2). Use a method similar to that...
-
Let X have a beta distribution with parameters α and β. (a) Show that the mean and variance of X are, respectively (b) Show that when α > 1 and β >...
-
Let X1, X2, X3 denote a random sample of size n = 3 from a distribution with the geometric pmf (a) Compute P(X1 = 1, X2 = 3, X3 = 1). (b) Determine P(X1 + X2 + X3 = 5). (c) If Y equals the maximum of...
-
What general conclusions can you draw about your companys liquidity, solvency and productivity based on your ratio calculations. Working Capital 2017 = $9,994 M 2016 = $10,673 M Current Ratio 2017 =...
-
Tami Tyler opened Tami's Creations, Incorporated, a small manufacturing company, at the beginning of the year. Getting the company through its first quarter of operations placed a considerable strain...
-
5. The current spot exchange rate is 0.95/$ and the three-month forward rate is 0.91/$. Based on your analysis of the exchange rate, you are pretty confident that the spot exchange rate will be...
Study smarter with the SolutionInn App