概率代考 Probability代写 Midterm代写 考试助攻

CAS MA 581: Probability

Midterm 2

概率代考 Note: • No cheat sheet, notes, or textbook allowed. You are allowed to use a calculator. • Please start a new page for each problem

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.

• Please show your work and complete the exam independently.

• 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 f_X|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?

更多代写：CS留学生代写价格  多邻国考试作弊  英国金融学网课代做  美国本科论文代写  美国Research Proposal代写 英文书评代写

合作平台：essay代写 论文代写 写手招聘 英国留学生代写