A sample of 500 new cars were checked for defects. The following table shows the results of the study. Fewer Six or More than Total Six Defects Defects American 96 178 274 Built Foreign Built 100 126 226 Total 196 304 500 One car is selected at random. Round your answers to two decimals. (a) What is the probability a randomly selected car was American built? Show your work. Enter the work/fraction you used to get your answer. (b) What is the probability that a randomly selected car had fewer than six defects, given that it is foreign built? Show your work. Enter the work/fraction you used to get your answer.

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A sample of 500 new cars were checked for defects. The following table shows the results of the study.
Fewer
Six or
than
More
Total
Six
Defects
Defects
American
96
178
274
Built
Foreign
Built
100
126
226
Total
196
304
500
One car is selected at random. Round your answers to two decimals.
(a) What is the probability a randomly selected car was American built?
Show your work. Enter the work/fraction you used to get your answer.
(b) What is the probability that a randomly selected car had fewer than six defects, given that it is foreign
built?
Show your work. Enter the work/fraction you used to get your answer.
Transcribed Image Text:A sample of 500 new cars were checked for defects. The following table shows the results of the study. Fewer Six or than More Total Six Defects Defects American 96 178 274 Built Foreign Built 100 126 226 Total 196 304 500 One car is selected at random. Round your answers to two decimals. (a) What is the probability a randomly selected car was American built? Show your work. Enter the work/fraction you used to get your answer. (b) What is the probability that a randomly selected car had fewer than six defects, given that it is foreign built? Show your work. Enter the work/fraction you used to get your answer.
(c) What is the probability that a randomly selected car was American AND had six or more defects?
Show your work. Enter the work/fraction you used to get your answer.
(d) What is the probability that a randomly selected car was American OR had six or more defects?
Show your work. Enter the work/fraction you used to get your answer.
(e) If a hypothesis test for independence was to be performed, find all the expected counts and enter
them into the table below. Round your answers to two decimals.
Fewer than
Six or More
Six Defects
Defects
American
Built
Foreign
Built
Transcribed Image Text:(c) What is the probability that a randomly selected car was American AND had six or more defects? Show your work. Enter the work/fraction you used to get your answer. (d) What is the probability that a randomly selected car was American OR had six or more defects? Show your work. Enter the work/fraction you used to get your answer. (e) If a hypothesis test for independence was to be performed, find all the expected counts and enter them into the table below. Round your answers to two decimals. Fewer than Six or More Six Defects Defects American Built Foreign Built
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