Here’s a fun fact: “poisson” means “fish” in French, so here’s a fishy problem to help youremember the Poisson distribution!Suppose you’re fishing at Lake Bryan, and at your fishing spot, you figure that on average,4 fish swim within range of your fishing lure every 30 minutes.(a)  What is the PMF for X = number of fish that swim within range of yourfishing lure in the next 30 minutes?(b)  What is the probability that no fish come within range of your fishing lurein the next 30 minutes?(c)  What is the probability that at least 6 fish come within range of your fishinglure in the next 30 minutes?

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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Here’s a fun fact: “poisson” means “fish” in French, so here’s a fishy problem to help you
remember the Poisson distribution!
Suppose you’re fishing at Lake Bryan, and at your fishing spot, you figure that on average,
4 fish swim within range of your fishing lure every 30 minutes.
(a)  What is the PMF for X = number of fish that swim within range of your
fishing lure in the next 30 minutes?
(b)  What is the probability that no fish come within range of your fishing lure
in the next 30 minutes?
(c)  What is the probability that at least 6 fish come within range of your fishing
lure in the next 30 minutes?

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