An entomologist is studying a rare type of insect. He finds that the time from birth until death (in years, denoted by T ) of a randomly selected member of this insect population has a Gamma distribution with parameters a = 2 and B = 7. Find the average life of a random insect of this type. 17 X

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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An entomologist is studying a rare type of insect. He finds
that the time from birth until death (in years, denoted by T
) of a randomly selected member of this insect population
has a Gamma distribution with parameters a = 2 and
B = 7.
Find the average life of a random insect of this type.
17
X
Find the probability that one of this random insects survives
longer than 15 years.
0.3687
Transcribed Image Text:An entomologist is studying a rare type of insect. He finds that the time from birth until death (in years, denoted by T ) of a randomly selected member of this insect population has a Gamma distribution with parameters a = 2 and B = 7. Find the average life of a random insect of this type. 17 X Find the probability that one of this random insects survives longer than 15 years. 0.3687
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