7. Need help please 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)

Given parameters in the problem are= 2β = 7we have to calculate the average life of a random insect…

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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