MATH 323 Midterm: MATH323 Fall 2010 Exam

• School: McGill University
• Department: Mathematics and Statistics
• Course: MATH 323
• Professor: All

Document Summary

This exam comprises the cover and four pages with 8 questions. No aids other than pocket calculators are allowed. Tables of the normal distribution are given at the end of this exam paper. [12] (1) three urns contain coloured balls as follows: [13] (2) (a) an unbalanced die, with probabilities p (1) = p (2) = 1/12, p (3) = p (4) = p (5) = 1/6, and. Let x be the maximum of the two numbers which occur. Find e(x) and var(x). (b) a box contains 12 marbles of which 7 are red and 5 are green. Four marbles are picked at random one by one without replacement. [12] (3) (a) the amount of co ee a machine dispenses is an exponentially distributed random variable with mean 100cc. Suppose a cup will over ow if more than 120cc are dispensed. [13] (4) if the density function of a random variable y is given by g(y) =(ky(1 y)