A car dealer has the following inventory. You are asked to randomly sample the i
ID: 3201978 • Letter: A
Question
A car dealer has the following inventory. You are asked to randomly sample the inventory and describe the car selected.
Model
Color
Drivetrain
On-Hand
Coupe
Blue
Gas
19
Coupe
Blue
Hybrid
14
Coupe
Blue
Electric
8
Coupe
Black
Gas
12
Coupe
Black
Hybrid
16
Coupe
Black
Electric
4
Sedan
Blue
Gas
14
Sedan
Blue
Hybrid
19
Sedan
Blue
Electric
6
Sedan
Black
Gas
18
Sedan
Black
Hybrid
10
Sedan
Black
Electric
3
Hatchback
Blue
Gas
20
Hatchback
Blue
Hybrid
25
Hatchback
Blue
Electric
8
Hatchback
Black
Gas
10
Hatchback
Black
Hybrid
14
Hatchback
Black
Electric
8
Total:
228
a. Define the experiment.
b. List the simple events for the experiment & assign probabilities to them.
c. What is the probability that the car will be a sedan?
d. What is the probability that the car will be blue and gas?
e. What is the probability the car will not be a hybrid?
Model
Color
Drivetrain
On-Hand
Coupe
Blue
Gas
19
Coupe
Blue
Hybrid
14
Coupe
Blue
Electric
8
Coupe
Black
Gas
12
Coupe
Black
Hybrid
16
Coupe
Black
Electric
4
Sedan
Blue
Gas
14
Sedan
Blue
Hybrid
19
Sedan
Blue
Electric
6
Sedan
Black
Gas
18
Sedan
Black
Hybrid
10
Sedan
Black
Electric
3
Hatchback
Blue
Gas
20
Hatchback
Blue
Hybrid
25
Hatchback
Blue
Electric
8
Hatchback
Black
Gas
10
Hatchback
Black
Hybrid
14
Hatchback
Black
Electric
8
Total:
228
Explanation / Answer
a) the expreiment consist of randomely picking one car number from inventory and then cheking the car description.
b) sample events for car is { blue gas coupe ; blue hybrid coupe ;blue electric coupe ;black gas coupe ;black hybrid coupe ; black electric coupe ; blue gas sedan ;blue hybrid sedan ;blue electric sedan ;black gas sedan ;black hybrid sedan ; black electric sedan ;blue gas hatchback ;blue hybrid hatchback ;blue electric hatchback ;black gas hatchback ;black hybrid hatchback ; black electric hatchback}
probability associated with them is given below
c) total number of sedan =70
hence probability that the car will be a sedan =70/228
d)total number of blue and gas cars =53
hence probability that the car will be blue and gas =53/228
e)total number of non hybrid cars =130
hence probability the car will not be a hybrid =130/228
Model Color Drivetrain On-Hand Probability =on-hand/total Coupe Blue Gas 19 0.083 Coupe Blue Hybrid 14 0.061 Coupe Blue Electric 8 0.035 Coupe Black Gas 12 0.053 Coupe Black Hybrid 16 0.070 Coupe Black Electric 4 0.018 Sedan Blue Gas 14 0.061 Sedan Blue Hybrid 19 0.083 Sedan Blue Electric 6 0.026 Sedan Black Gas 18 0.079 Sedan Black Hybrid 10 0.044 Sedan Black Electric 3 0.013 Hatchback Blue Gas 20 0.088 Hatchback Blue Hybrid 25 0.110 Hatchback Blue Electric 8 0.035 Hatchback Black Gas 10 0.044 Hatchback Black Hybrid 14 0.061 Hatchback Black Electric 8 0.035 Total: 228 1.000Related Questions
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