11. A car dealership sells three type of cars: X, Y and Z. Any of these three models can be fitted with a manual or automatic gearbox. The data is shown below. Y Total Automatic 23 44 33 Manual 3 12 Total (a) If one car is selected at random, what is the probability that the car is Type Y? (b) If one car is selected at random, what is the probability that the car is Automatic? (c) Are the events in Parts (a) + (b) mutually exclusive? Briefly, explain your reasoning. (d) If one car is selected at random, what is the probability that the car is Type Y or Automatic?
11. A car dealership sells three type of cars: X, Y and Z. Any of these three models can be fitted with a manual or automatic gearbox. The data is shown below. Y Total Automatic 23 44 33 Manual 3 12 Total (a) If one car is selected at random, what is the probability that the car is Type Y? (b) If one car is selected at random, what is the probability that the car is Automatic? (c) Are the events in Parts (a) + (b) mutually exclusive? Briefly, explain your reasoning. (d) If one car is selected at random, what is the probability that the car is Type Y or Automatic?
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Transcribed Image Text:11. A car dealership sells three type of cars: X, Y and Z. Any of these three models can be fitted
with a manual or automatic gearbox. The data is shown below.
Y
Z
Total
Automatic
23
44
33
Manual
3
12
5
Total
(a) If one car is selected at random, what is the probability that the car is Type Y?
(b) If one car is selected at random, what is the probability that the car is Automatic?
(c) Are the events in Parts (a) + (b) mutually exclusive? Briefly, explain your reasoning.
(d) If one car is selected at random, what is the probability that the car is Type Y or Automatic?
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