17. Michigan's Classic Lotto 47 In Michigan's Classic Lotto 47 NW Lottery, a player must choose 6 numbers between 1 and 47, in- clusive. Six balls numbered from 1 and 47 are then randomly selected from an urn. The random variable X represents the number of matching numbers. (a) What is the probability of matching 3 numbers? (b) What is the probability of matching 4 numbers? (c) What is the probability of matching 5 numbers? (d) What is the probability of matching 6 numbers? (e) A winning ticket is one in which the player matches 3,4, 5, or 6 numbers. What is the probability of purchasing a winning ticket? Would it be unusual to purchase a win- ning ticket?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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17. This is a  Hypergeometric Distribution problem. Please solve it and make sure to solve all parts, and use the correct formulas, and provide the steps neatly. 

17. Michigan's Classic Lotto 47 In Michigan's Classic Lotto 47
NW Lottery, a player must choose 6 numbers between 1 and 47, in-
clusive. Six balls numbered from 1 and 47 are then randomly
selected from an urn. The random variable X represents the
number of matching numbers.
(a) What is the probability of matching 3 numbers?
(b) What is the probability of matching 4 numbers?
(c) What is the probability of matching 5 numbers?
(d) What is the probability of matching 6 numbers?
(e) A winning ticket is one in which the player matches 3,4,
5, or 6 numbers. What is the probability of purchasing a
winning ticket? Would it be unusual to purchase a win-
ning ticket?
Transcribed Image Text:17. Michigan's Classic Lotto 47 In Michigan's Classic Lotto 47 NW Lottery, a player must choose 6 numbers between 1 and 47, in- clusive. Six balls numbered from 1 and 47 are then randomly selected from an urn. The random variable X represents the number of matching numbers. (a) What is the probability of matching 3 numbers? (b) What is the probability of matching 4 numbers? (c) What is the probability of matching 5 numbers? (d) What is the probability of matching 6 numbers? (e) A winning ticket is one in which the player matches 3,4, 5, or 6 numbers. What is the probability of purchasing a winning ticket? Would it be unusual to purchase a win- ning ticket?
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