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?
 
 
xi
0
1
2
3
4
5 or more
Туре
Foreign
Vehicle Driven
Satisfaction with vehicle
Gender
Age
# of hours per week in vehicle
Miles drive per week
Number of Children
Average number of riders
Miles from work
Truck
Truck
Truck
Truck
No
Male
26
12
580
1
15
Domestic
No
Male
18
6
300
1
20
Domestic
Yes
Male
31
10
450
1
30
Domestic
Yes
Male
29
370
1
1
22
SUV
Domestic
Yes
Male
31
10
675
1
35
SUV
Domestic
No
Female
31
15
800
1
1
50
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
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
Mini Van
Foreign
Yes
Female
28
8
350
4
Mini Van
Domestic
No
Female
43
10
700
2
3
Mini Van
Foreign
Yes
Female
38
10
450
4
5
Mini Van
Domestic
No
Male
35
5
350
2
2
Mini Van
Foreign
Yes
Female
32
2
200
4
Mini Van
Domestic
Yes
Female
55
8
400
2
Mini Van
Domestic
Yes
Female
41
10
720
1
2
15
Foreign
Foreign
Car
Yes
Female
41
5
350
2
2
23
Car
Yes
Female
34
10
600
1
2
16
Car
Domestic
Yes
Female
29
5
250
1
19
Car
Domestic
No
Female
24
300
1
4
Car
Domestic
Yes
Female
21
4
150
1
Car
Foreign
Yes
Male
60
150
1
10
Car
Domestic
Yes
Female
47
4
300
1
21
Car
Foreign
No
Female
42
400
2
3
22
Car
Domestic
Yes
Female
39
10
700
1
2
45
Transcribed Image Text:Туре Foreign Vehicle Driven Satisfaction with vehicle Gender Age # of hours per week in vehicle Miles drive per week Number of Children Average number of riders Miles from work Truck Truck Truck Truck No Male 26 12 580 1 15 Domestic No Male 18 6 300 1 20 Domestic Yes Male 31 10 450 1 30 Domestic Yes Male 29 370 1 1 22 SUV Domestic Yes Male 31 10 675 1 35 SUV Domestic No Female 31 15 800 1 1 50 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 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 Mini Van Foreign Yes Female 28 8 350 4 Mini Van Domestic No Female 43 10 700 2 3 Mini Van Foreign Yes Female 38 10 450 4 5 Mini Van Domestic No Male 35 5 350 2 2 Mini Van Foreign Yes Female 32 2 200 4 Mini Van Domestic Yes Female 55 8 400 2 Mini Van Domestic Yes Female 41 10 720 1 2 15 Foreign Foreign Car Yes Female 41 5 350 2 2 23 Car Yes Female 34 10 600 1 2 16 Car Domestic Yes Female 29 5 250 1 19 Car Domestic No Female 24 300 1 4 Car Domestic Yes Female 21 4 150 1 Car Foreign Yes Male 60 150 1 10 Car Domestic Yes Female 47 4 300 1 21 Car Foreign No Female 42 400 2 3 22 Car Domestic Yes Female 39 10 700 1 2 45
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