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 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)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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
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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