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?

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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
Transcribed Image Text: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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