Explain why P(C) is not just the average of the three given conditional probabilities. (Select all that apply.)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 64E
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Suppose that we define the following events.
C =
A =
V =
T =
event that a randomly selected driver is observed to be using a cell phone
event that a randomly selected driver is observed driving a passenger automobile
event that a randomly selected driver is observed driving a van or SUV
event that a randomly selected driver is observed driving a pickup truck
The probabilities given below are based on data from the "National Highway Traffic Safety Administration," the following probability estimates are reasonable. t
P(C) = 0.03
P(CIA) = 0.026
P(CIV) = 0.048
P(CIT) = 0.019
Explain why P(C) is not just the average of the three given conditional probabilities. (Select all that apply.)
O This doesn't take into account passengers on their phones.
This doesn't take into account Bluetooth calls.
There are other types of vehicles not included in those three types.
There are different numbers of people driving the three different types of vehicle.
This doesn't take into account texting versus making a call.
Transcribed Image Text:Suppose that we define the following events. C = A = V = T = event that a randomly selected driver is observed to be using a cell phone event that a randomly selected driver is observed driving a passenger automobile event that a randomly selected driver is observed driving a van or SUV event that a randomly selected driver is observed driving a pickup truck The probabilities given below are based on data from the "National Highway Traffic Safety Administration," the following probability estimates are reasonable. t P(C) = 0.03 P(CIA) = 0.026 P(CIV) = 0.048 P(CIT) = 0.019 Explain why P(C) is not just the average of the three given conditional probabilities. (Select all that apply.) O This doesn't take into account passengers on their phones. This doesn't take into account Bluetooth calls. There are other types of vehicles not included in those three types. There are different numbers of people driving the three different types of vehicle. This doesn't take into account texting versus making a call.
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