Search the whole station

概率代考 Probability代写 Midterm代写 考试助攻

320

Midterm 2

Note:

No cheat sheet, notes, or textbook allowed. You are allowed to use a calculator.

Please start a new page for each problem (not for individual parts of each problem) and specify the pages for the corresponding problems when uploading your solutions to Gradescope.

This exam contains 3 problems in 1 page.

1. Let X and Y have joint PDF 概率代考

(a) (5 points) Find the marginal PDF for X.

(b) (5 points) Find the marginal PDF for Y .

(c) (5 points) Show that X and Y are not independent.

2. The random variable X has the PDF 概率代考

(a) (5 points) Determine the value of c.

(b) (5 points) Let A be the event {X 1}. Find the conditional PDF fX|A(x).

(c) (5 points) Let A be the same event as in part (b). Find var(X|A).

(d) (5 points) Let Y = p√|X|. Find the PDF of the random variable Y .

3. (15 points) 概率代考

Let X and Y be independent random variables that are uniformly distributed on the interval [0, 1]. What is the PDF of the random variable Z = (3Y )/X?

Related recommendations

• 线性代数代写 数学代写 考试代写 EXAM代写

396

MAT224H5Y EXAM 线性代数代写 Question 1. (40 Marks) This question consists of 20 multiple choice questions. Answer each question and put your answer in the table below. Question 1. (40 Marks...

View details
• 数学final代考 Math 328 & Math 601代写 Math代写

273

Final Examination Math 328 & Math 601 数学final代考 Directions: • Write your names and student number on the top right-hand corner of this page. • Open this booklet only when directed to...

View details
• 数学偏微分方程代写 4143/6543代写 偏微分方程代写代写

36

4143/6543 Partial Differential Equations 数学偏微分方程代写 All explanations and calculations must be shown in full to receive full credit. You may use the book but no electronic computation d...

View details
• 模块和表示论代写 MATH 5735代写 数学作业代写 数学代写

36

MATH 5735 - Modules and Representation Theory Assignment 1 模块和表示论代写 1. (9 marks) Recall that an integral domain is a commutative ring (with unity) that has no zero divisors. (a) Pro...

View details
1