he following table gives the joint probability distribution of the speed of a car (C) and the incidence of an accident (A), where A=0 when no accidents have occured and A=1 when an accident has occured: C= 30 kmph C= 50 kmph C= 95 kmph A=0 0.02 0.05 0.15 A=1 0.08 0.25 0.45 omplete the following table with the marginal distributions of the speed of a car (C) and the incidence of an accident (A). C= 30 kmph C= 50 kmph Marginal probability (A) C=95 kmph A=0 0.02 0.05 0.15 A=1 0.08 0.25 0.45 Marginal probability (C) omplete the following table with the conditional distribution of the speed of a car given the incidence of an accident, ie., C given A. C= 30 kmph c=50 kmph C=95 kmph Total Pr(CJA = 0) Pr(CJA = 1) Round your answers to two decimal places.) he conditional expectation of the speed of the car, given no accidents take place, E(CIA = 0), is kmph. nd, the conditional expectation of the speed of the car, given an accident takes place, E(CA = 1), is kmph. Round your answers to two decimal places.) he probability Pr(C= 95|A = 1)= and the probability Pr(C = 95) =D he probability of having an accident (A) and the speed of a car (C) are v events because

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The following table gives the joint probability distribution of the speed of a car (C) and the incidence of an accident (A), where A =0 when no accidents have occured and A=1 when an accident has occured:
C= 30 kmph
C= 50 kmph
C= 95 kmph
A= 0
0.02
0.05
0.15
A = 1
0.08
0.25
0.45
Complete the following table with the marginal distributions of the speed of a car (C) and the incidence of an accident (A).
Marginal probability
(A)
C= 30 kmph
C= 50 kmph
C= 95 kmph
A = 0
0.02
0.05
0.15
A= 1
0.08
0.25
0.45
Marginal probability
(C)
Complete the following table with the conditional distribution of the speed of a car given the incidence of an accident, i.e., C given A.
C= 30 kmph c= 50 kmph
C= 95 kmph
Total
Pr(CJA = 0)
Pr(CIA = 1)
(Round your answers to two decimal places.)
The conditional expectation of the speed of the car, given no accidents take place, E(CJA = 0), is kmph.
And, the conditional expectation of the speed of the car, given an accident takes place, E(CJA = 1), is kmph.
(Round your answers to two decimal places.)
The probability Pr(C= 95|A = 1) = and the probability Pr(C = 95) =.
The probability of having an accident (A) and the speed of a car (C) are
V events because
Transcribed Image Text:The following table gives the joint probability distribution of the speed of a car (C) and the incidence of an accident (A), where A =0 when no accidents have occured and A=1 when an accident has occured: C= 30 kmph C= 50 kmph C= 95 kmph A= 0 0.02 0.05 0.15 A = 1 0.08 0.25 0.45 Complete the following table with the marginal distributions of the speed of a car (C) and the incidence of an accident (A). Marginal probability (A) C= 30 kmph C= 50 kmph C= 95 kmph A = 0 0.02 0.05 0.15 A= 1 0.08 0.25 0.45 Marginal probability (C) Complete the following table with the conditional distribution of the speed of a car given the incidence of an accident, i.e., C given A. C= 30 kmph c= 50 kmph C= 95 kmph Total Pr(CJA = 0) Pr(CIA = 1) (Round your answers to two decimal places.) The conditional expectation of the speed of the car, given no accidents take place, E(CJA = 0), is kmph. And, the conditional expectation of the speed of the car, given an accident takes place, E(CJA = 1), is kmph. (Round your answers to two decimal places.) The probability Pr(C= 95|A = 1) = and the probability Pr(C = 95) =. The probability of having an accident (A) and the speed of a car (C) are V events because
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