Question

According to the National Highway Traffic and Safety Administration’s National Center for Statistics and Analysis, "speeding is one of the most prevalent factors contributing to fatal traffic crashes". The probability that speeding is a cause of a fatal crash is .3. Furthermore, the probability that speeding and missing a curve are causes of a fatal crash is .12.

a. Given that speeding is a cause of a fatal crash, what is the probability that the crash occurred on a curve?

Answer 1

0.40

Explanation:

Let

A=Cause of fatal crash is speeding

B=Missing a curve

A and B=(A∩B)= Speeding and missing a curve both are cause of fatal crash

P(A)=0.3

P(A and B)=P(A∩B)=0.12

`P(B/A)=(P(A and B))/(P(A))`

`P(B/A)=(0.12)/(0.3)`

P(B/A)=0.40

The probability that the crash occurred on a curve is 0.40 or 40%