Using the accompanying data, develop a cross-tabulation for Gender and Vehicle Driven; then convert this table into probabilities. a. What is the probability that the respondent is female? b. What is the probability that the respondent drives an SUV? c. What is the probability that a respondent is male and drives a minivan? d. What is the probability that a female respondent drives either a truck or an SUV? e. If it is known that an individual drives a car, what is the probability that the individual is female? f. If it is known that an individual is male, what is the probability that he drives an SUV? g. Determine whether the random variable "gender" and the event "vehicle driven" are statistically independent. What would this mean for advertisers? |Click the icon to view gender and vehicle driven data. a. The probability that the respondent is female isO (Type an integer or a decimal. Do not round.) b. The probability that the respondent drives an SUV is (Type an integer or a decimal. Do not round.) c. The probability that a respondent is male and drives a minivan is (Type an integer or a decimal. Do not round.) d. The probability that a female respondent drives either a truck or an SUV is (Round to four decimal places as needed.) e. If it is known that an individual drives a car, the probability that the individual is female is (Round to four decimal places as needed.) f. If it is known that an individual is male, the probability that he drives an SUV is (Round to four decimal places as needed.)
Using the accompanying data, develop a cross-tabulation for Gender and Vehicle Driven; then convert this table into probabilities. a. What is the probability that the respondent is female? b. What is the probability that the respondent drives an SUV? c. What is the probability that a respondent is male and drives a minivan? d. What is the probability that a female respondent drives either a truck or an SUV? e. If it is known that an individual drives a car, what is the probability that the individual is female? f. If it is known that an individual is male, what is the probability that he drives an SUV? g. Determine whether the random variable "gender" and the event "vehicle driven" are statistically independent. What would this mean for advertisers? |Click the icon to view gender and vehicle driven data. a. The probability that the respondent is female isO (Type an integer or a decimal. Do not round.) b. The probability that the respondent drives an SUV is (Type an integer or a decimal. Do not round.) c. The probability that a respondent is male and drives a minivan is (Type an integer or a decimal. Do not round.) d. The probability that a female respondent drives either a truck or an SUV is (Round to four decimal places as needed.) e. If it is known that an individual drives a car, the probability that the individual is female is (Round to four decimal places as needed.) f. If it is known that an individual is male, the probability that he drives an SUV is (Round to four decimal places as needed.)
Chapter9: Sequences, Probability And Counting Theory
Section9.7: Probability
Problem 1SE: What term is used to express the likelihood of an event occurring? Are there restrictions on its...
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Transcribed Image Text:Row
varl
var2
var
1
Vehicle Driven
Gender
Truck
Male
3
Truck
Male
4
Truck
Male
5
Truck
Male
6
SUV
Male
SUV
Male
8
SUV
Male
9
SUV
Male
10
SUV
Male
11
SUV
Male
12
SUV
Male
13
SUV
Male
14
SUV
Female
15
SUV
Female
16
SUV
Male
17
SUV
Male
18
SUV
Female
19
SUV
Female
20
SUV
Male
21
Minivan
Female
22
Minivan
Female
23
Miniyan
Female
24
Minivan
Female
25
Minivan
Female
26
Minivan
Male
27
Minivan
Female
28
Minivan
Female
29
Minivan
Female
30
Car
Female
31
Car
Female
32
Car
Female
33
Car
Male
34
Car
Male
35
Car
Female
36
Car
Female
37
Car
Female
38
Car
Male
39
Car
Female
40
Car
Female
41
Car
Female
42
Car
Female
43
Car
Female
44
Car
Male
45
Car
Male
46
Car
Female
47
Car
Female
48
Car
Female
49
Car
Female
50
Car
Female
51
Car
Female
Transcribed Image Text:Using the accompanying data, develop a cross-tabulation for Gender and Vehicle Driven; then convert this table into probabilities.
a. What is the probability that the respondent is female?
b. What is the probability that the respondent drives an SUV?
c. What is the probability that a respondent is male and drives a minivan?
d. What is the probability that a female respondent drives either a truck or an SUV?
e. If it is known that an individual drives a car, what is the probability that the individual is female?
f. If it is known that an individual is male, what is the probability that he drives an SUV?
g. Determine whether the random variable "gender" and the event "vehicle driven" are statistically independent. What would this mean for advertisers?
E Click the icon to view gender and vehicle driven data.
.....
a. The probability that the respondent is female is
(Type an integer or a decimal. Do not round.)
b. The probability that the respondent drives an SUV is
(Type an integer or a decimal. Do not round.)
c. The probability that a respondent is male and drives a minivan is|
(Type an integer or a decimal. Do not round.)
d. The probability that a female respondent drives either a truck or an SUV is
(Round to four decimal places as needed.)
e. If it is known that an individual drives a car, the probability that the individual is female is
(Round to four decimal places as needed.)
f. If it is known that an individual is male, the probability that he drives an SUV is
(Round to four decimal places as needed.)
g. Gender and Vehicle Driven
statistically independent because P(SUV | Male)
P(SUV). If the random variable "gender" and the event "vehicle driven" are statistically independent, advertisers need to target different genders
V for different vehicles.
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