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概率考试代考 CAS MA 581代写

2022-08-18 15:21 星期四 所属: 概率代写 浏览:88

CAS MA 581: Probability

Midterm 2

概率考试代考 Note: No cheat sheet, notes, or textbook allowed. You are allowed to use a calculator. Please start a new page for each problem (not for individual

Note:    概率考试代考

  • 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.

 

概率考试代考
概率考试代考

 

(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.  概率考试代考

The random variable X has the PDF

 

 

(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 = √|X|. Find the PDF of the random variable Y .

 

3.(15 points)  概率考试代考

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?

 

 

 

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