Let fX,Y (x,y) = 1/8 sinxsec2 (y/4) for 0 x , 0 y
Question:
fX,Y (x,y) = 1/8 sinxsec2 (y/4)
for 0 ≤ x ≤ π, 0 ≤ y ≤ π
and fX,Y (x,y) = 0 otherwise. Find:
a. The density fX{x) of X.
b. The density fY(y) of Y.
c. P(X < π/2,Y < π/2).
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 60% (10 reviews)
a b c frxs...View the full answer
Answered By
JAPHETH KOGEI
Hi there. I'm here to assist you to score the highest marks on your assignments and homework. My areas of specialisation are:
Auditing, Financial Accounting, Macroeconomics, Monetary-economics, Business-administration, Advanced-accounting, Corporate Finance, Professional-accounting-ethics, Corporate governance, Financial-risk-analysis, Financial-budgeting, Corporate-social-responsibility, Statistics, Business management, logic, Critical thinking,
So, I look forward to helping you solve your academic problem.
I enjoy teaching and tutoring university and high school students. During my free time, I also read books on motivation, leadership, comedy, emotional intelligence, critical thinking, nature, human nature, innovation, persuasion, performance, negotiations, goals, power, time management, wealth, debates, sales, and finance. Additionally, I am a panellist on an FM radio program on Sunday mornings where we discuss current affairs.
I travel three times a year either to the USA, Europe and around Africa.
As a university student in the USA, I enjoyed interacting with people from different cultures and ethnic groups. Together with friends, we travelled widely in the USA and in Europe (UK, France, Denmark, Germany, Turkey, etc).
So, I look forward to tutoring you. I believe that it will be exciting to meet them.
3.00+
2+ Reviews
10+ Question Solved
Related Book For
Introduction to Probability
ISBN: 978-0716771098
1st edition
Authors: Mark Daniel Ward, Ellen Gundlach
Question Posted:
Students also viewed these Statistics questions
-
Let X, Y have joint density fX, Y(x, y) = x + y, for 0 x,y 1, and fx, y (x, y) = 0 otherwise. Find the joint CDF, i.e., Fx, y (x, y) = P(X x, Y y).
-
Let X, Y have joint density fX,Y (x,y) = 6/7(x+y)2 For 0 x,y 1 And fX,Y (x,y) = 0 otherwise Find P(X 1/2, Y 1/2).
-
Let X, Y have joint density fX,Y (x,y) = 9/32 xy for 0 x 1, 0 y 4 and fX,Y (x,y) = 0 otherwise. a. Are X and Y independent? b. Find P(X < Y). c. Find P(X < 2Y). d. Find P(X < 4Y).
-
(a) lim f(x) X-C+ 5. y 7. Y 9. 2 IT - Limits and Continuity In Exercises 5-10, use the graph to determine each limit, and discuss the continuity of the function. -3+ (4,3), + + 1/2 3 4 (3, 1) (b) lim...
-
Vintage Cellars manufactures a 1,000- bottle wine storage system that maintains optimum temperature (55 57 F) and humidity (5080 percent) for aging wines. The system has a backup battery for power...
-
In May 2022, it was reported that Hockey Canadathe governing body for the sport of ice hockey in Canadahad paid a settlement to a woman who alleged that she was the victim of a sexual assault...
-
During the year ended 30 June 2025, Modern Furniture Pty Ltd incurred the following costs. The company charges factory overhead costs to work in process inventory and finished goods inventory using...
-
The gross earnings of the factory workers for Zorn Company during the month of January are $60,000. The employers payroll taxes for the factory payroll are $8,000. The fringe benefits to be paid by...
-
1. How should a company whose product is highly demanded and highly specialized grow quickly but still source responsibly? How far down the supply chain is the company responsible? How should it...
-
Chris and Stefani Watanabe live with their two boys at 1400 Victoria Lane, Riverside, CA 92501. Chris is an accountant who has his own accounting practice. Stefani is an elementary school teacher....
-
Let X, Y have joint density fX,Y (x,v) = (8-2x)(3-y)/256 for -2 x 2, -2 y 2 and fX,Y (x,y) = 0 otherwise. a. Are X and Y independent? b. Find the density fX(x) of X. c. Find the density fY(y) of...
-
Suppose X and F have joint density fX,Y(x,y) = 2sech2(l/:r)/y3 for 0 < x < y, and fX,Y(x,y) = 0 otherwise. a. Show that fX,Y(x,y) is a joint density, i.e., the integral over all x's and y's is 1. b....
-
A household freezer operates in a room at 20C. Heat must be transferred from the cold space at a rate of 2 kW to maintain its temperature at 30C. What is the theoretically smallest (power) motor...
-
Summer BBQ uses a perpetual inventory system to record inventory. All purchases and sales of merchandise inventory were on account. Company records indicate the following data for the month of June...
-
On February 1, 2021, Jessica Campbell begins her own business - Jessicas Healthy Bites. During February, Jessica recorded the following business transactions. Indicate the effects of the following...
-
Suppose Maestros had cost of goods sold during the year of $230,000. Beginning merchandise inventory was $35,000, and ending merchandise inventory was $45,000. Determine Maestros inventory turnover...
-
Use the following sales journal to record the preceding transactions. All credit sales are terms of n/30. Date 2024 Invoice No. Customer Account Debited Sales Journal Post. Ref. Accounts Receivable...
-
Applying the direct write-off method to account for uncollectibles Shawna Valley is an attorney in Los Angeles. Valley uses the direct write-off method to account for uncollectible receivables. At...
-
Determine each of the following as being either true or false. If it is false, explain why. 3x = 2 7 + x9
-
Gopher, Inc. developing its upcoming budgeted Costs of Quality (COQ) with the following information: Expense Item Budget Raw Materials Inspection $ 15,000 EPA Fine 200,000 Design Engineering 15,000...
-
A comparison of reaction times for two different stimuli in a psychological word-association experiment produced the accompanying results when applied to a random sample of 16 people: Do the data...
-
The table gives the scores of a group of 15 students in mathematics and art. Use Wilcoxon's signed-rank test to determine whether the median scores for these students differ significantly for the two...
-
Refer to Exercise 15.65. Compute Spearman's rank correlation coefficient for these data and test H0 : no association between the rank pairs at the 10% level of significance. Exercise 15.65 The table...
-
Can we justify the acquisition of Peloton Interactive Inc using NPV assuming the initial investment is 10% of the total market value of the company, 5% constant growth rate for the next three years...
-
Rivan Co. is considering a new three-year expansion project that requires an initial fixed asset investment of $2.18 million in a large building. The fixed asset applies three year MACRS for tax...
-
Mary would like to save $10,000 at the end of 5 years for a future down payment on a car. How much should she deposit at the end of each month in a savings account that pays 1.2%/a, compounded...
Study smarter with the SolutionInn App