*****show how each answer (a,b,c) were found please!********** The formulae for

Question

*****show how each answer (a,b,c) were found please!**********

The formulae for the Probability Unit can be found in Blackboard under the Probability Unit 2. In a study of fatal car accidents, some accidents were attributed to high speed or drunk . The probability that the fatality was attributed to high speeds was 0.57 driving . The probability that the fatality was attributed to drunk driving was 0.62 The probability that high speed and drunk driving caused the accident was 0.41 What is the probability that a fatal accident will be attributed to high speeds or drunk a. driving? b. What is the probability that a fatal accident will be attributed to neither cause? c. What is the probability that the fatality will be attributed to drunk driving, but not hig!h speeds?

Explanation / Answer

let probability of fatality due to high spped =P(A) ; due to drunk driving =P(B)

a) P(accident attributed to high speed or drunk driving)=P(A UB )=P(A)+P(B)-P(A n B)=0.57+0.62-0.41=0.78

b)P(neither cause) =1-P(A U B) =1-0.78 =0.22

c)

P(drunk driving but not high speed) =P(B)-P(A n B)=0.62-0.41 =0.21

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