TV sets: According to the Nielsen Company, the mean number of TV sets in a U.S. household in 2013 was 2.24. Assume the standard deviation is 1.3. A sample of 90 households is drawn.
A) What is the probability that the sample mean number of TV sets is greater than 2? Round your answer to four decimal places.
B) What is the probability that the sample mean number of TV sets is between 2.5and 3? Round your answer to four decimal places.
C) Find the 30th percentile of the sample mean. Round your answer to two decimal places.
D) Would it be unusual for the sample mean to be less than 2? Round your answer to four decimal places. (is or is not unusual)
E) Do you think it would be unusual for an individual household to have fewer than 2 TV sets? Explain. Assume the population is approximately normal. Round your answer to four decimal places. (would or would not).
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