STAT 400 Final: STAT400 FORNI-G SPRING2009 0101 FINAL EXAM

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

Document Summary

No notes, calculators, cell phones or electronic devices. Total: 100 points: suppose that 1/1000 people have a variant of a certain gene. A test is developed to detect the presence of the variant. Ii) let x , y be independent uniformly distributed random variables. Iii) let f be the joint probability density function de ned as follows: f (x, y) = 3 (2y x), 1 x 0, 0 y 1: find fx (x) and fy |x (y|x) , find e( y |x = x ) and e( 2x 3. Iv) a game consists of generating i. i. d. random variables from 2 separate normal populations. At each stage, one random variable ( x ) comes from n (1, 4) (the normal with mean = 4 and standard deviation. = 1 ) and you win 10 times the value of this random variable. The other random variable ( y ) comes from.