During a fund-raising drive, 500 raffle tickets are old at $1 each. One ticket will win the  first prize worth $20; 3 tickets will win second-prizes worth $10 each; and 10 tickets will  win third-prizes worth $5 each. Assuming that each person buys only one ticket, let x be a  ticket buyer’s net winnings. (a) Find the probability distribution of x. (b) Find the probability that a ticket buyer wins no more than $10. (c) Find the mean of x. Interpret the answer in plain language.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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During a fund-raising drive, 500 raffle tickets are old at $1 each. One ticket will win the 
first prize worth $20; 3 tickets will win second-prizes worth $10 each; and 10 tickets will 
win third-prizes worth $5 each. Assuming that each person buys only one ticket, let x be a 
ticket buyer’s net winnings.
(a) Find the probability distribution of x.
(b) Find the probability that a ticket buyer wins no more than $10.
(c) Find the mean of x. Interpret the answer in plain language. 

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