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?
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 59E
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Transcribed Image Text: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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