4 A garage keeps records of the last 94 cars tested for roadworthiness. The main reasons for failing the test are faulty tyres, steering or bodywork. In total, 34 failed for tyres, 40 failed for steering and 29 failed for bodywork. 11 cars failed for other reasons. 7 cars failed for both tyres and steering, 6 for steering and bodywork and 11 for bodywork and tyres. The owner of the garage wishes to calculate the number of cars that failed for all three reasons. a Draw a Venn diagram to represent the information, using x to represent the number of cars failing for all three reasons. b Hence calculate the value of x. Hence find the probability that a car selected at random from this data set C failed for at least two reasons.
4 A garage keeps records of the last 94 cars tested for roadworthiness. The main reasons for failing the test are faulty tyres, steering or bodywork. In total, 34 failed for tyres, 40 failed for steering and 29 failed for bodywork. 11 cars failed for other reasons. 7 cars failed for both tyres and steering, 6 for steering and bodywork and 11 for bodywork and tyres. The owner of the garage wishes to calculate the number of cars that failed for all three reasons. a Draw a Venn diagram to represent the information, using x to represent the number of cars failing for all three reasons. b Hence calculate the value of x. Hence find the probability that a car selected at random from this data set C failed for at least two reasons.
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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Transcribed Image Text:4 A garage keeps records of the last 94
cars tested for roadworthiness. The main
reasons for failing the test are faulty
tyres, steering or bodywork. In total, 34
failed for tyres, 40 failed for steering and
29 failed for bodywork. 11 cars failed for
other reasons. 7 cars failed for both tyres
and steering, 6 for steering and bodywork
and 11 for bodywork and tyres. The
owner of the garage wishes to calculate
the number of cars that failed for all three
reasons.
Draw a Venn diagram to represent
the information, using x to represent
the number of cars failing for all three
a
reasons.
b Hence calculate the value of x.
C Hence find the probability that a car
selected at random from this data set
failed for at least two reasons.
-04...5.45 A
ENTROPÍA
2021-03-12
911
2021-03-10
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