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 В B = 7. Find the average life of a random insect of this type. 0.286 Find the probability that one of this random insects survives longer than 15 years. -105 106e X X

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.CR: Chapter 13 Review
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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.
0.286
Find the probability that one of this random insects survives
longer than 15 years.
-105
106e
X
X
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. 0.286 Find the probability that one of this random insects survives longer than 15 years. -105 106e X X
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