[All Steps] Small cars get better gas mileage, but they are not as safe as bigger cars. Small cars ac- counted for 18% of the vehicles on the road. but


Question: Small cars get better gas mileage, but they are not as safe as bigger cars. Small cars ac- counted for 18% of the vehicles on the road. but accidents involving small cars led to 11,898 fatalities during a recent year (Reader is 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 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?

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