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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 ## Midterm 2

### 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.

(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? ### 关键字： 