STAT 400 Midterm: STAT400 BOYLE-M FALL2003 0101 MID EXAM 2

• School: University of Maryland
• Department: Statistics and Probability
• Course: STAT 400
• Professor: All

Document Summary

No books, no notes, no calculators, no cell phones or electronic devices. 2. (20 points) the lengths x and y of two sides of a rectangle are chosen indepen- dently, with x having uniform distribution on [0, 2] and y having distribution with the density function fy (y) = 4y3. = 0 if 0 y 1 , otherwise . What is the expected value of the area of the rectangle? (15 points) suppose x and y are independent random variables, each with. 3. distribution n ( , 2) = n (2, 1), and let w = 3x + 4y . 4. (15 points) suppose x and y are independent random variables, each with uniform distribution on [0, 2]. Set up an integration for the probability that the total lifetime of the two bulbs is at most 2.