Suppose that a pair of fair dice are rolled 120 times. Let X be the number of rolls on which the sum of the two numbers is 12. Show your working details. You may use R to verify your answer. (a) Find the probability when X = 3 approximately using Poisson approximation. (b) Compute the actual probability from binomial distribution. Comment on the accuracy of Poisson approximation.

Suppose that a pair of fair dice are rolled 120 times. Let X be the number of rolls on which the sum of the two numbers is 12. Show your working details. You may use R to verify your answer. (a) Find the probability when X = 3 approximately using Poisson approximation. (b) Compute the actual probability from binomial distribution. Comment on the accuracy of Poisson approximation.

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Description: Suppose that a pair of fair dice are rolled 120 times. Let X be the number of rolls on which thesum of the two numbers is 12. Show your working details. You may use R to verify youranswer.(a)Find the probability when X = 3 approximately using Poisso

A First Course in Probability (10th Edition)

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Chapter1: Combinatorial Analysis

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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

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Suppose that a pair of fair dice are rolled 120 times. Let X be the number of rolls on which the
sum of the two numbers is 12. Show your working details. You may use R to verify your
answer.
(a)
Find the probability when X = 3 approximately using Poisson approximation.
(b)
Compute the actual probability from binomial distribution. Comment on the accuracy
of Poisson approximation.

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