Question # 1. Customers who purchase a certain make of car can order an engine in any of three siz Of all cars sold, 45% have the smallest engine, 35% have the medium-size one, and 20 have the largest. Of cars with the smallest engine, 10% fail an emission test within t years of purchase, while 12% of those with the medium size and 15% of those with t largest engine fail. (a) What is the probability that a randomly chosen car will fail an emission te within two years? (b) If a randomly chosen car passed the emission test within two years, what the probability that this car has smaller engine? Question # 2. Suppose that at a particular air quality monitoring station, the monitoring devices syste installed in the station are established to measure the level of the air pollution. T cyctom will cianal if the lovalLof air noILion ovcoods the allowahlolovels and will n

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 2EQ: 2. Suppose that in Example 2.27, 400 units of food A, 500 units of B, and 600 units of C are placed...
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Question # 1.
Customers who purchase a certain make of car can order an engine in any of three sizes.
Of all cars sold, 45% have the smallest engine, 35% have the medium-size one, and 20%
have the largest. Of cars with the smallest engine, 10% fail an emission test within two
years of purchase, while 12% of those with the medium size and 15% of those with the
largest engine fail.
(a) What is the probability that a randomly chosen car will fail an emission test
within two years?
(b) If a randomly chosen car passed the emission test within two years, what is
the probability that this car has smaller engine?
Question # 2.
Suppose that at a particular air quality monitoring station, the monitoring devices system
installed in the station are established to measure the level of the air pollution. The
evctom wi cianal ifthe lovelLof air noILon ovcoods tha allowahlolovals and will not
..
Transcribed Image Text:Question # 1. Customers who purchase a certain make of car can order an engine in any of three sizes. Of all cars sold, 45% have the smallest engine, 35% have the medium-size one, and 20% have the largest. Of cars with the smallest engine, 10% fail an emission test within two years of purchase, while 12% of those with the medium size and 15% of those with the largest engine fail. (a) What is the probability that a randomly chosen car will fail an emission test within two years? (b) If a randomly chosen car passed the emission test within two years, what is the probability that this car has smaller engine? Question # 2. Suppose that at a particular air quality monitoring station, the monitoring devices system installed in the station are established to measure the level of the air pollution. The evctom wi cianal ifthe lovelLof air noILon ovcoods tha allowahlolovals and will not ..
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