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Hypergeometric Distribution If we sample from a small

Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola ISBN: 9780321836960 18

Solution for problem 46BB Chapter 5.3

Elementary Statistics | 12th Edition

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Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola

Elementary Statistics | 12th Edition

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Problem 46BB

Problem  47BB

Hypergeometric Distribution If we sample from a small finite population without replacement, the binomial distribution should not be used because the events are not independent. If sampling is done without replacement and the outcomes belong to one of two types, we can use the hypergeometric distribution. If a population has A objects of one type (such as lottery numbers matching the ones you selected), while the remaining В objects are of the other type (such as lottery numbers different from the ones you selected), and if n objects are sampled without replacement (such as six drawn lottery numbers), then the probability of getting x objects of type A and n – x objects of type В is

In Pennsylvania’s Match 6 Lotto game, a bettor selects six numbers from 1 to 49 (without repetition), and a winning six-number combination is later randomly selected. Find the probabilities of the following events and express them in decimal form.

a. You purchase one ticket with a six-number combination and you get exactly four winning numbers. (Hint: Use A = 6, В = 43, n = 6, and x = 4.)

b. You purchase one ticket with a six-number combination and you get all six of the winning numbers.

c. You purchase one ticket with a six-number combination and you get none of the winning numbers.

Step-by-Step Solution:
Step 1 of 3

Solution  47BB

= 0.0000000715

Step 2 of 3

Chapter 5.3, Problem 46BB is Solved
Step 3 of 3

Textbook: Elementary Statistics
Edition: 12
Author: Mario F. Triola
ISBN: 9780321836960

This full solution covers the following key subjects: Outcomes, distribution, type, slots, roulette. This expansive textbook survival guide covers 121 chapters, and 3629 solutions. Since the solution to 46BB from 5.3 chapter was answered, more than 365 students have viewed the full step-by-step answer. The answer to “Hypergeometric Distribution If we sample from a small finite population without replacement, the binomial distribution should not be used because the events are not independent. If sampling is done without replacement and the outcomes belong to one of two types, we can use the hypergeometric distribution. If a population has A objects of one type (such as lottery numbers matching the ones you selected), while the remaining ? objects are of the other type (such as lottery numbers different from the ones you selected), and if n objects are sampled without replacement (such as six drawn lottery numbers), then the probability of getting x objects of type A and n – x objects of type ? is In Pennsylvania’s Match 6 Lotto game, a bettor selects six numbers from 1 to 49 (without repetition), and a winning six-number combination is later randomly selected. Find the probabilities of the following events and express them in decimal form.a. You purchase one ticket with a six-number combination and you get exactly four winning numbers. (Hint: Use A = 6, ? = 43, n = 6, and x = 4.)________________b. You purchase one ticket with a six-number combination and you get all six of the winning numbers.________________c. You purchase one ticket with a six-number combination and you get none of the winning numbers.” is broken down into a number of easy to follow steps, and 219 words. This textbook survival guide was created for the textbook: Elementary Statistics, edition: 12. The full step-by-step solution to problem: 46BB from chapter: 5.3 was answered by , our top Statistics solution expert on 03/15/17, 10:30PM. Elementary Statistics was written by and is associated to the ISBN: 9780321836960.

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Hypergeometric Distribution If we sample from a small