Isle Royale, an island in Lake Superior, has provided an important study site of wolves and their prey. Of special interest is the study of the number of moose killed by wolves. In the period from 1958 to 1974, there were 296 moose deaths identified as wolf kills. The age distribution of the kills is as follows. Number Killed by Wolves Age of Moose in Years Calf (0.5 yr) 1-5 114 49 71 11-15 16-20 59 3 (a) For each age group, compute the probability that a moose in that age group is killed by a wolf. (Round your answers to three decimal places.) 0.5 1-5 6-10 11-15 16-20 (b) Consider all ages in a class equal to the class midpoint. Find the expected age of a moose killed by a wolf and the standard deviation of the ages. (Round your answers to two decimal places.)

Linear Algebra: A Modern Introduction
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Author:David Poole
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Section4.6: Applications And The Perron-frobenius Theorem
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Isle Royale, an island in Lake Superior, has provided an important study site of wolves and their prey. Of special interest is the study of the number of moose killed by wolves. In the period from
1958 to 1974, there were 296 moose deaths identified as wolf kills. The age distribution of the kills is as follows.
Number Killed by Wolves
Age of Moose in Years
Calf (0.5 yr)
1-5
114
49
71
11-15
16-20
59
3
(a) For each age group, compute the probability that a moose in that age group is killed by a wolf. (Round your answers to three decimal places.)
0.5
1-5
6-10
11-15
16-20
(b) Consider all ages in a class equal to the class midpoint. Find the expected age of a moose killed by a wolf and the standard deviation of the ages. (Round your answers to two decimal
places.)
Transcribed Image Text:Isle Royale, an island in Lake Superior, has provided an important study site of wolves and their prey. Of special interest is the study of the number of moose killed by wolves. In the period from 1958 to 1974, there were 296 moose deaths identified as wolf kills. The age distribution of the kills is as follows. Number Killed by Wolves Age of Moose in Years Calf (0.5 yr) 1-5 114 49 71 11-15 16-20 59 3 (a) For each age group, compute the probability that a moose in that age group is killed by a wolf. (Round your answers to three decimal places.) 0.5 1-5 6-10 11-15 16-20 (b) Consider all ages in a class equal to the class midpoint. Find the expected age of a moose killed by a wolf and the standard deviation of the ages. (Round your answers to two decimal places.)
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