Answered: Based on the Consumer Transportation… | bartleby

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 31E

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Related questions

Question

Based on the Consumer Transportation Survey data below, develop a probability mass function and cumulative distribution function (both tabular and as charts) for the random variable number of children.

a. What is the probability that an individual in this survey has fewer than three children?

b. What is the probability that an individual in this survey has at least one child?

c. What is the probability that an individual in this survey has five or more children?

Vehicle Driven
Satisfaction with vehicle
Gender
Туре
Domestic
Age
# of hours per week in vehicle
Miles drive per week
Number of Children
Average number of riders
Miles from work
Truck
Truck
Truck
Yes
Male
29
370
1
1
22
Domestic
Yes
Male
31
10
450
1
30
Domestic
No
Male
18
6.
300
1
20
SUV
Domestic
No
Female
29
4
300
1
1
20
SUV
Domestic
Yes
Male
28
3
400
1
1
15
SUV
Domestic
Yes
Male
49
21
1000
1
22
SUV
Foreign
Yes
Male
50
16
840
2
1
45
SUV
Domestic
Yes
Male
48
15
1400
3
4
25
SUV
Foreign
Yes
Male
45
5
300
2
2
20
SUV
Domestic
Yes
Male
45
15
850
1
25
SUV
Domestic
Yes
Male
44
10
700
2
1
40
Foreign
Foreign
Foreign
Foreign
SUV
Yes
Male
41
350
1
1
20
Mini Van
Mini Van
Mini Van
Mini Van
Mini Van
Mini Van
Mini Van
Mini Van
Yes
Female
38
10
450
Yes
Female
28
8
350
4
Yes
Female
39
15
1000
1
Domestic
Yes
Female
55
8
400
2
Domestic
No
Male
35
5
350
2
2
Domestic
No
Female
43
10
700
2
Yes
Yes
Domestic
Female
33
10
800
2
Domestic
Female
41
10
720
1
2
15
Car
Domestic
Yes
Female
29
250
1
19
Car
Domestic
No
Male
46
4
275
1
18
Car
Domestic
Yes
Female
22
5
350
1
Car
Domestic
No
Female
41
10
600
1
2
34
Car
Domestic
Yes
Female
61
5
355
1
15
Car
Foreign
Yes
Male
30
350
1
2
18
Car
Domestic
Yes
Female
47
4
300
1
21
Car
Domestic
No
Female
24
5
300
1
4
Car
Foreign
Yes
Female
41
5
350
2
23
Car
Domestic
No
Female
62
5
175
2

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Population Genetics In the study of population genetics, an important measure of inbreeding is the proportion of homozygous genotypesthat is, instances in which the two alleles carried at a particular site on an individuals chromosomes are both the same. For population in which blood-related individual mate, them is a higher than expected frequency of homozygous individuals. Examples of such populations include endangered or rare species, selectively bred breeds, and isolated populations. in general. the frequency of homozygous children from mating of blood-related parents is greater than that for children from unrelated parents Measured over a large number of generations, the proportion of heterozygous genotypesthat is, nonhomozygous genotypeschanges by a constant factor 1 from generation to generation. The factor 1 is a number between 0 and 1. If 1=0.75, for example then the proportion of heterozygous individuals in the population decreases by 25 in each generation In this case, after 10 generations, the proportion of heterozygous individuals in the population decreases by 94.37, since 0.7510=0.0563, or 5.63. In other words, 94.37 of the population is homozygous. For specific types of matings, the proportion of heterozygous genotypes can be related to that of previous generations and is found from an equation. For mating between siblings 1 can be determined as the largest value of for which 2=12+14. This equation comes from carefully accounting for the genotypes for the present generation the 2 term in terms of those previous two generations represented by for the parents generation and by the constant term of the grandparents generation. a Find both solutions to the quadratic equation above and identify which is 1 use a horizontal span of 1 to 1 in this exercise and the following exercise. b After 5 generations, what proportion of the population will be homozygous? c After 20 generations, what proportion of the population will be homozygous?

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