Suppose that on average 2 people in a major city die each year from alien attack. Suppose that each attack is random and independent. (a) If X is the number of deaths from alien attack within the next year from a randomly selected major city, what type of random variable is X? (b) Use the Poisson approximation to approximate the probability that the next major city you visit will have at least 3 deaths due to alien attack? (c) Why do you think a Poisson approximation is used instead of a normal approximation?

Suppose that on average 2 people in a major city die each year from alien attack. Suppose that each attack is random and independent. (a) If X is the number of deaths from alien attack within the next year from a randomly selected major city, what type of random variable is X? (b) Use the Poisson approximation to approximate the probability that the next major city you visit will have at least 3 deaths due to alien attack? (c) Why do you think a Poisson approximation is used instead of a normal approximation?

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Description: Suppose that on average 2 people in a major city die each year from alien attack. Suppose that eachattack is random and independent.(a) If X is the number of deaths from alien attack within the next year from a randomly selectedmajor city, what type

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

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 on average 2 people in a major city die each year from alien attack. Suppose that each
attack is random and independent.
(a) If X is the number of deaths from alien attack within the next year from a randomly selected
major city, what type of random variable is X?
(b) Use the PoissOn approximation to approximate the probability that the next major city you visit
will have at least 3 deaths due to alien attack?
(c) Why do you think a Poisson approximation is used instead of a normal approximation?

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