According to sales information in the first quarter of 2015, 2.3% of the new vehicles sold in the United States were hybrids. This is down from 2.7% for the same period a year earlier. An analyst's review of the data indicates that the reasons for the sales decline include the low price of gasoline and the higher price of a hybrid compared to similar vehicles. Let’s assume these statistics remain the same for 2016. That is, 2.3 percent of the new car sales are hybrids in the first quarter of 2016. For a sample of 41 vehicles sold in the Richmond, Virginia area:
a. How many vehicles would you expect to be hybrid? (Round your answer to 2 decimal places.)
b.Use the Poisson distribution to find the probability that five of the sales were hybrid. (Round your answer to 4 decimal places.)
c.Use the binomial distribution to find the probability that five of the sales were hybrid. (Round your answer to 4 decimal places.)
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