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Practice Problems for Assignment - Statistics | PSTAT 5A, Assignments of Statistics

Material Type: Assignment; Class: STATISTICS; Subject: Statistics & Applied Probability; University: University of California - Santa Barbara; Term: Unknown 1989;

Typology: Assignments

Pre 2010

Uploaded on 09/17/2009

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PSTAT 5A

Unit 2 Practice Problems

  1. An urn contains 12 blue and 2 white marbles. 3 are chosen at random, and we are interested in counting the number of white marble. Define the random variable, X = A. Find P(X = 0) B. Find P(x = 2)
  2. Construct the PDF and CDF for X in problem 1.
  3. Find the expected value and standard deviation of X.
  4. A box contains fifty $1 bills and two $100 bills. Two bills are chosen at random. Let X = the amount of money won. Construct the PDF for X. If you had to pay $10 to play this game, would you play? Use the concept of Expected Value and Standard Deviation to explain your answer.
  5. Below is a PDF for a random variable, X. X 0 2 3 6 P(X = x) 0.10 a 0.65 0. A. Find a. B. Find P(X ≤ 3) C. Find the standard deviation of X.