Assume a Poisson distribution. Find the following probabilities. a. Let λ = 6.0, find P(X > 3). b. Let λ = 0.6, find P(X ≤ 1). c. Let λ= 6.0, find P(X ≤ 2). d. Let λ = 3.7, find P(X≥ 1). e. Let λ= 5.3, find P(X ≤ 2). a. When λ = 6.0, P(X23) = (Round to three decimal places as needed.) b. When λ = 0.6, P(X ≤1)= (Round to three decimal places as needed.) c. When λ = 6.0, P(X ≤ 2) = (Round to three decimal places as needed.) d. When λ = 3.7, P(X≥ 1) = (Round to three decimal places as needed.) e. When λ = 5.3, P(X ≤ 2) = (Round to three decimal places as needed.)

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.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 54E
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Assume a Poisson distribution. Find the following probabilities.
a. Let λ = 6.0, find P(X > 3).
b. Let λ = 0.6, find P(X ≤ 1).
c. Let λ = 6.0, find P(X ≤ 2).
d. Let λ = 3.7, find P(X≥ 1).
e. Let λ = 5.3, find P(X ≤2).
a. When λ = 6.0, P(X≥ 3) =
(Round to three decimal places as needed.)
b. When λ = 0.6, P(X ≤1)=
(Round to three decimal places as needed.)
c. When λ = 6.0, P(X ≤ 2) =
(Round to three decimal places as needed.)
d. When λ = 3.7, P(X> 1) =
(Round to three decimal places as needed.)
e. When λ = 5.3, P(X ≤2)=
(Round to three decimal places as needed.)
Transcribed Image Text:Assume a Poisson distribution. Find the following probabilities. a. Let λ = 6.0, find P(X > 3). b. Let λ = 0.6, find P(X ≤ 1). c. Let λ = 6.0, find P(X ≤ 2). d. Let λ = 3.7, find P(X≥ 1). e. Let λ = 5.3, find P(X ≤2). a. When λ = 6.0, P(X≥ 3) = (Round to three decimal places as needed.) b. When λ = 0.6, P(X ≤1)= (Round to three decimal places as needed.) c. When λ = 6.0, P(X ≤ 2) = (Round to three decimal places as needed.) d. When λ = 3.7, P(X> 1) = (Round to three decimal places as needed.) e. When λ = 5.3, P(X ≤2)= (Round to three decimal places as needed.)
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