Assume a Poisson distribution. Find the following probabilities. a. Let = 2.0, find P(X22). b. Let λ=0.5, find P(X≤ 1). c. Let λ = 5.0, find P(X ≤ 3). d. Let λ = 3.9, find P(X≥ 2). e. Let λ = 5.1, find P(X ≤ 3).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 30E
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Question
Assume a Poisson distribution. Find the following probabilities.
a. Let λ = 2.0, find P(X ≥ 2).
b. Let λ = 0.5, find P(X ≤ 1).
c. Let λ = 5.0, find P(X ≤ 3).
d. Let λ = 3.9, find P(X≥ 2).
e. Let λ = 5.1, find P(X ≤ 3).
Transcribed Image Text:Assume a Poisson distribution. Find the following probabilities. a. Let λ = 2.0, find P(X ≥ 2). b. Let λ = 0.5, find P(X ≤ 1). c. Let λ = 5.0, find P(X ≤ 3). d. Let λ = 3.9, find P(X≥ 2). e. Let λ = 5.1, find P(X ≤ 3).
Expert Solution
Step 1

As per our guidelines we are suppose to answer only three sub parts.

Given,λ=2A random variable X~Poisson(λ=2)P(X=x)=e-2(2)xx!  ;  x0

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