3. Small cars get better gas mileage, but they are not as safe as bigger cars. Small cars accounted for

18% of the vehicles on the road, but accidents involving small cars led to 11,898 fatalities during a

recent year (

Reader's Digest,

May 2000). Assume the probability a small car is involved in an

accident is .18. The probability of an accident involving a small car leading to a fatality is .128 and

the probability of an accident not involving a small car leading to a fatality is .05. Suppose you

learn of an accident involving a fatality. What is the probability a small car was involved? Assume

that the likelihood of getting into an accident is independent of car size.