(a) (b) Suppose that the random variables X,..., X, form a random sample from a standard...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
(a) (b) Suppose that the random variables X₁,..., X, form a random sample from a standard normal distribution. Let Y = (X₁ + X₂ + X₂ + X₂)² + (X₂ + X6 + X₁ + Xg)². 7 Obtain the c value so that the random variable cY has a x² distribution. [10 marks] Suppose that X₁,..., X, are independent and identically distributed random variables from a standard normal distribution. Obtain the value of d so that the random variable has at distribution. d(X₁ + X₂ + X3) 2 2 2 (X² + X² + X² + X₂²)¹/² 4 7 [10 marks] (c) If S and S are the variance for the sample of independent random variables with size n₁ =6 and n₂ =10, taken from a Normal distribution with common variance, calculate the value of e so that P(S²/S² <e) = 0.05. [10 marks] (a) (b) Suppose that the random variables X₁,..., X, form a random sample from a standard normal distribution. Let Y = (X₁ + X₂ + X₂ + X₂)² + (X₂ + X6 + X₁ + Xg)². 7 Obtain the c value so that the random variable cY has a x² distribution. [10 marks] Suppose that X₁,..., X, are independent and identically distributed random variables from a standard normal distribution. Obtain the value of d so that the random variable has at distribution. d(X₁ + X₂ + X3) 2 2 2 (X² + X² + X² + X₂²)¹/² 4 7 [10 marks] (c) If S and S are the variance for the sample of independent random variables with size n₁ =6 and n₂ =10, taken from a Normal distribution with common variance, calculate the value of e so that P(S²/S² <e) = 0.05. [10 marks]
Expert Answer:
Answer rating: 100% (QA)
Answer and Explanation 1 It is stated that X1 X2 X6 N0 1 and Y X X2 X3 X4 X5 X6 Wev... View the full answer
Related Book For
Probability and Statistics for Engineers and Scientists
ISBN: 978-0495107576
3rd edition
Authors: Anthony Hayter
Posted Date:
Students also viewed these mechanical engineering questions
-
Suppose that the random variables X and Y have joint PDF That is, X and Y are uniformly distributed over the square 0 ( x ( 2, 0 ( y ( 2. Find (a) The joint PDF of U = X + Y and V = X - Y, and (b)...
-
Let X and Y be independent and identically distributed random variables with pdf Find the distribution of (XY)/2. 1x20 otherwise 0,
-
Suppose that the random variables (X, Y) have joint probability density function ((x, y). The marginal probability density function of X is defined to be Where ((x) and b(x) are the smallest and...
-
In 2020/21 Ella had taxable income (after deducting the personal allowance) of 52,000, all of which represented savings income. She paid 1,600 as a Gift Aid donation to the NSPCC (a registered...
-
At the beginning of the year, Badger Company estimated the following: Badger has decided to use a plantwide overhead rate based on direct labor hours. Actual data for the month of June are as...
-
Suppose that average worker productivity at manufacturing firms (avgprod) depends on two factors, average hours of training (avgtrain) and average worker ability (avgabil): avgprod = (0 + (1 avgtrain...
-
Is it ethical to choose aggressive accounting practices to advance a companys business? During the 1990s, America Online (AOL), the largest Internet service provider in the United States, was one of...
-
Smith purchased 5 percent of Barkers outstanding stock on October 1, 2009, for $7,475 and acquired an additional 10 percent of Barker for $14,900 on July 1, 2010. Both of these purchases were...
-
Condensed financial data of Kingbird, Inc. follow. Additional information: New plant assets costing $ 8 0 , 5 0 0 were purchased for cash during the year. Old plant assets having an original cost of...
-
Assess the intervention and turnaround by Bob Cooper of Signit Ventures that lead Dave from Faxtech to TTI. How important was Steve Oldham, the turnaround specialist assisting with Faxtech in the...
-
Financial Metrics Year 1 Year 2 Year 3 Liquidity Ratios - Current Ratio 3.5 4.0 4.5 - Quick Ratio 2.8 3.2 3.6 Profitability Ratios - Net Profit Margin 20% 22% 24% - Return on Assets (ROA) 14% 16% 18%...
-
Explain four types of business corruption with one example of each. (8 points) Bribery Fraud Embezzlement Kickbacks
-
Express the vector 2u + 3w in the form v = vi+v2j+V3k if u = (3, 5, 4) and w = (-2, 5, -2). 2u+3w= (D 1+ (Simplify your answer.) ...
-
The following information is from the records of Mountainview Camera Shop: Accounts receivable, December 31, 2024 Net credit sales for 2024 $82,000 (debit) 162,000 Accounts written off as...
-
Divide a person's life from age 20 to 60 into ten-year segments and discuss the likely saving of borrowing patterns during each period. Would you expect the saving-borrowing pattern to differ by...
-
Find both first partial derivatives. 12yx z II z =
-
29 The U.S. Supreme Court has ruled that a free, public education is every American citizen's constitutional right. True False
-
Identify Thank You mission, strategy and core competencies. Identify strategy changes that have taken place at Thank You since its founding in 2008. Your answer must in text references and must be...
-
Ceramic tiles are shipped in very large batches and an acceptance sampling procedure to monitor the number of cracked tiles in a batch has n = 50 and c = 10. Use the binomial approximation to...
-
Repeat Problem 15.2.4 using the data set in DS 15.2.2. Problem 15.2.4 Use the rank sum test procedure to analyze the two samples in DS 15.2.1. (a) What is SA? (b) What is UA? (c) Is the value of UA...
-
Suppose that X ~ N(-7, 14). Find. (a) P(X 0) (b) P(X -10) (c) P(-15 X -1) (d) P(-5 X 2) (e) P(|X + 7| 8) (f) The value of X for which P(X x) = 0.75 (g) The value of x for which P(X x) = 0.27...
-
Ratio analysis over two years (Learning Objective 4) Comparative financial statement data of Weinstein, Inc., follow. 1. Market price of Weinsteins common stock: $49.00 at December 31, 2009, and...
-
Investment recommendation (Learning Objective 4) Take the role of an investment analyst at Prudential Bache. It is your job to recommend investments for your clients. The only information you have...
-
Make an investment decision (Learning Objective 4) Assume that you are purchasing an investment and have decided to invest in a company in the digital phone business. You have narrowed the choice to...
Study smarter with the SolutionInn App