# Homework 5 - fictitious I do not know the fines for parking...

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550.420 Introduction to Probability Fall 2011 Homework 5 Due Thursday October 6 [1] (2 points) For each of the following, determine the value(s) of k for which p(.) is a probability frequency function. Note that in part (d), n is a positive integer. (a) p(c) = kx, x=1,2,3,4,5. (b) p(x) = k (1+x) 2 , x=-2,-1,0,1,2. (c) p(x) = k (1/9) x , x=1,2,3,…. (d) p(x) = kx, x=1,2,3,…,n. [2] (2 points) In a certain part of downtown Baltimore, parking lots charge \$18 per day. A car that is illegally parked on the street will be fined \$75 if caught, and the chance of being caught in 60%. If money is the only concern of a commuter who must park in this location every day, should he park at a lot or park illegally? [The dollar amounts are
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Unformatted text preview: fictitious. I do not know the fines for parking in Baltimore city.] [3] (2 points) A box contains 20 fuses, of which 5 are defective. What is the expected number of defective items among three fuses selected randomly? [4] (2 points) Decide whether or not the function p(n) = 1/n(n+1), n=1,2,3,…. is a probability frequency function. If so, if X is a random variable with this probability frequency function, find the value of E[X] if it exists. [5] (2 points) What are the expectation, variance, and standard deviation of the number of spades in a poker hand? (A poker hand is a set of five cards that are randomly selected from an ordinary deck of 52 playing cards.)...
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## This note was uploaded on 02/26/2012 for the course STATISTICS 420 taught by Professor Wierman during the Fall '11 term at Johns Hopkins.

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