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?
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
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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.
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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