An ornithologist is studying a population of female cardinals as it changes each year. They are assuming the following things about this bird population: 1st year cardinals Does not lay eggs 70% survive to 2nd year 2nd year cardinals Has 2 female offspring each 40% survive to 3rd year 3rd year cardinals Has 1 female offspring each None survive to 4th year [90 Suppose right now the distribution of cardinals in each age group is 60 70 After 1 year, how many cardinals will be in each age group? [Round answers to the nearest whole number.] 1st year: 2nd year: 3rd year: Graded Anony Comments: No Comments How many birds will be in each age group after 3 years? [Round answers to the nearest whole number.] 1st year: 2nd year: 3rd year: x1 If the vector b = x2 represents the distribution of birds, where x1 is the number in X3 the 1st year, x2 is the number in the 2nd year and x3 is the number in the 3rd year, find the matrix A so that Ab is the distribution of birds after 1 year. A =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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An ornithologist is studying a population of female cardinals as it changes each year.
They are assuming the following things about this bird population:
1st year cardinals
Does not lay eggs
70% survive to 2nd year
2nd year cardinals
Has 2 female offspring each
40% survive to 3rd year
3rd year cardinals
Has 1 female offspring each
None survive to 4th year
[90
Suppose right now the distribution of cardinals in each age group is
60
70
After 1 year, how many cardinals will be in each age group? [Round answers to the
nearest whole number.]
1st year:
2nd year:
3rd year:
Graded Anony
Comments:
No Comments
Transcribed Image Text:An ornithologist is studying a population of female cardinals as it changes each year. They are assuming the following things about this bird population: 1st year cardinals Does not lay eggs 70% survive to 2nd year 2nd year cardinals Has 2 female offspring each 40% survive to 3rd year 3rd year cardinals Has 1 female offspring each None survive to 4th year [90 Suppose right now the distribution of cardinals in each age group is 60 70 After 1 year, how many cardinals will be in each age group? [Round answers to the nearest whole number.] 1st year: 2nd year: 3rd year: Graded Anony Comments: No Comments
How many birds will be in each age group after 3 years? [Round answers to the nearest
whole number.]
1st year:
2nd year:
3rd year:
x1
If the vector b
=
x2
represents the distribution of birds, where x1 is the number in
X3
the 1st year, x2 is the number in the 2nd year and x3 is the number in the 3rd year, find
the matrix A so that Ab is the distribution of birds after 1 year.
A =
Transcribed Image Text:How many birds will be in each age group after 3 years? [Round answers to the nearest whole number.] 1st year: 2nd year: 3rd year: x1 If the vector b = x2 represents the distribution of birds, where x1 is the number in X3 the 1st year, x2 is the number in the 2nd year and x3 is the number in the 3rd year, find the matrix A so that Ab is the distribution of birds after 1 year. A =
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