A rental car company offers three types of vehicles (compact, mid-size, and full-size).Based on prior customer data, the company knows that:35% of customers choose a compact vehicle. 45% of customers choose a mid-size vehicle. Among those who drive a long distance (more than 100 miles), one-sixth of thosecustomers choose a compact vehicle. Among those who choose a full-size vehicle, three-fifths of those customers drive ashort distance (less than 100 miles). 24% of customers drive a long distance.(a) What is the probability that a customer chooses a full-size vehicle anddrives long-distance?(b)  If a customer does not choose a mid-size vehicle, find the probability thatthey will drive a short distance.

A First Course in Probability (10th Edition)
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A rental car company offers three types of vehicles (compact, mid-size, and full-size).
Based on prior customer data, the company knows that:
35% of customers choose a compact vehicle.
 45% of customers choose a mid-size vehicle.
 Among those who drive a long distance (more than 100 miles), one-sixth of those
customers choose a compact vehicle.
 Among those who choose a full-size vehicle, three-fifths of those customers drive a
short distance (less than 100 miles).
 24% of customers drive a long distance.
(a) What is the probability that a customer chooses a full-size vehicle and
drives long-distance?
(b)  If a customer does not choose a mid-size vehicle, find the probability that
they will drive a short distance.

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