Use the properties of moment generating functions to show that a sum of p independent normal random
Question:
Use the properties of moment generating functions to show that a sum of p independent normal random variables with means μi and variances σi2 for i = 1,2, ...., p has a normal distribution.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 69% (13 reviews)
The moment generating function of a normal random ...View the full answer
Answered By
Branice Buyengo Ajevi
I have been teaching for the last 5 years which has strengthened my interaction with students of different level.
4.30+
1+ Reviews
10+ Question Solved
Related Book For
Applied Statistics And Probability For Engineers
ISBN: 9781118539712
6th Edition
Authors: Douglas C. Montgomery, George C. Runger
Question Posted:
Students also viewed these Mathematics questions
-
If X and Y are independent, normal random variables with E(X) = 0, V(X) = 4, E(Y) = 10, and V(Y) = 9. Determine the following: (a) E(2X + 3Y) (b) V(2X + 3Y) (c) P(2X + 3Y < 30) (d) P(2X + 3Y < 40)
-
If X 1 and X 2 are independent normal random variables with mean 14 and 8 and variance 2 and 5, respectively, what distribution does 3 X 1 - X 2 have?
-
The following data are observations y on a dependent random variable Y taken at various levels of an independent variable x. [It is assumed that E(Yi×xi) = A + Bxi, and the Yi are independent...
-
Generally, the JDBC API perform the following three functions a. Connect to database, load JDBC driver, perform the query b. Perform the query, connect to database, load JDBC driver c. Get result...
-
If it manufactures at home, a firm faces input prices for labor and capital of and and produces units of output using L^ units of labor and K^ units of capital. Abroad, the wage and cost of...
-
An electron is accelerated horizontally from rest by a potential difference of 2200 V. It then passes between two horizontal plates 6.5 cm long and 1.3 cm apart that have a potential difference of...
-
Choose three categories of stock or bond funds in which you think you might like to invest. Explain why you think they are good investments.
-
Garza and Neely, CPAs, are preparing their service revenue (sales) budget for the coming year (2012). The practice is divided into three departments: auditing, tax, and consulting. Billable hours for...
-
. Current Attempt in Progress On January 1, 2023, The Flounder Company received a 4-year promissory note that had a face value of $875,000, and a stated interest rate of 6%. Interest was receivable...
-
A, B, and C with profit and loss sharing ratio of 4:3:3, respectively, have the following condensed statement of financial position: Assets 1,880,000 Liabilities 480,000 A Capital 620,000 B, Capital...
-
This exercise extends the hypergeometric distribution to multiple variables. Consider a population with N items of k different types. Assume that there are N 1 items of type 1, N 2 items of type...
-
Will the sample mean always correspond to one of the observations in the sample?
-
The proportion of defective microcomputer disks of a certain kind is believed to be anywhere from 0.06 to 0.10. The manufacturer wants to draw a random sample and estimate the proportion of all...
-
How does the principles, values, theories, techniques, methods and research approach to cognitive psychology school of thought match and attribute to general psychology?
-
Supplies on hand at the end of the year: $5,016. Equipment shown on the 12/1 TB was purchased on 1/1/17, has a 7-year life, no salvage value and company uses double-declining balance method for its...
-
. What is a non-political socially-appropriate response to someone who is exhibiting prejudice? What are the responsibilities of a social psychology researcher when the researcher encounters...
-
Describe the historical influences that shaped the field of psychology as discussed in the lesson notes. Identify and discuss the contributions of at least two of psychology's forefathers as...
-
Please provide a handwitten explination to solve the following. 1. What is the wavlength of a 3.3 MHz sound in soft tissue? What is the frequency of an unknown wavelength traveling in soft tissue? 2....
-
What is the difference between a principal and an agent for determining the amount of revenue to recognize?
-
The area of square PQRS is 100 ft2, and A, B, C, and D are the midpoints of the sides. Find the area of square ABCD. B A
-
Implement the test in Problem 12.31, and report a p-value? Endocrinology A study was conducted [15] concerning the effect of calcium supplementation on bone loss among postmenopausal women. Women...
-
Identify which pairs of groups are different from each other, using both t tests and the method of multiple comparisons. Report a p-value for each pair of treatment groups? Endocrinology A study was...
-
Which methodology do you think is more appropriate in Problem 12.33? Endocrinology A study was conducted [15] concerning the effect of calcium supplementation on bone loss among postmenopausal women....
-
28. Under the perpetual inventory system, a cash discount received will be recorded as A. Credit Purchase Discount B. Credit Merchandise Inventory C. Debit Accounts Payable D. Credit Accounts...
-
On a variable costing income statement, costs are split between Group of answer choices high and low direct and indirect product and period variable and fixed
-
Collections on accounts receivable ______ operating cash flows while payments on accounts payable decrease _______ cash flows. Multiple choice question. increase, investing increase, operating...
Study smarter with the SolutionInn App