assignment 5

# assignment 5 - density function of X 3 A policeman gives an...

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Economics 249 Assignment 5 Due Friday, February 29 th R. Baumann 1. Let D = the number of Dell computers sold and M = the number of Macintosh computers sold. Suppose the joint pdf is D : Dell sales M : Mac sales 30 35 40 45 25 0.03 0.05 0.08 0.09 30 0.10 0.15 0.15 0.10 35 0.08 0.09 0.05 0.03 a) Find ) ( M E . b) What is the variance of M ? c) Find the expected value of M given 35 Dells have been sold. d) Find ) , ( M D Cov . 2. Let X be a uniformly distributed continuous random variable over the interval [-1,4]. a) Find the probability X will be between one and three, inclusive, using the cumulative distribution function of X . b) Find the probability X will be between one and three, inclusive, using the probability
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Unformatted text preview: density function of X . 3. A policeman gives an average of 2.4 tickets while patrolling an intersection during his late-night shift. a) What is the probability he will give zero tickets in a given shift? b) What is the probability he will give three or more tickets in a given shift? 4. There are 24 students in the 1pm section, 17 men and 7 women. On Friday, 6 students were absent. a) What is the probability that two of the absent students were women? b) What is the probability that two of the absent students were men?...
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