Gamma Distribution Example: The time until a total of 3 people have entered the post office follows a gamma distribution with a = 3 and ß= 10 ➤What is the probability that this time is greater than 40 minutes?
Gamma Distribution Example: The time until a total of 3 people have entered the post office follows a gamma distribution with a = 3 and ß= 10 ➤What is the probability that this time is greater than 40 minutes?
Chapter5: Exponential And Logarithmic Functions
Section5.5: Exponential And Logarithmic Models
Problem 4ECP
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![Gamma Distribution
Example: The time until a total of 3 people
have entered the post office follows a gamma
distribution with a = 3 and 6 = 10
➤What is the probability that this time is
greater than 40 minutes?
P[X >40] = 1 - F(40;3,10)=1-
Par (
=1-F(4;3)=1-0.762=0.238
E[X] = (3) (10) = 30 minutes
V(X) = (3) (10²) = 300
(40/10) y³-le-y
Г(3)
-dy](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbe144a46-4ddc-41ce-b1b0-a8d23efae02d%2Fb5055c1c-6449-4587-8443-0e98316ad1c8%2Fb0u0pkv_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Gamma Distribution
Example: The time until a total of 3 people
have entered the post office follows a gamma
distribution with a = 3 and 6 = 10
➤What is the probability that this time is
greater than 40 minutes?
P[X >40] = 1 - F(40;3,10)=1-
Par (
=1-F(4;3)=1-0.762=0.238
E[X] = (3) (10) = 30 minutes
V(X) = (3) (10²) = 300
(40/10) y³-le-y
Г(3)
-dy
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