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
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
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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 \( \alpha = 2 \) and \( \beta = 7 \).
1. Find the average life of a random insect of this type.
- Incorrect answer given: 17 (marked with a red cross)
2. Find the probability that one of these random insects survives longer than 15 years.
- Correct probability: 0.3687 (marked with a green check)
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