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This quiz examines a real-world application of the binomial probability model, focusing on a scenario where 20% of luxury cars sold are red. Given a selection of 15 cars, the quiz explores key probability calculations: the likelihood of selecting between 3 and 5 red cars, the probability of selecting no red cars at all, and the mean number of red cars in the sample. This is an engaging way to learn about binomial distributions and their practical uses. For assistance, refer to the Probability Distributions spreadsheet or Minitab.
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Quiz 10.25.2012 In a recent year, 20% of all luxury cars sold were red. If 15 cars of that year and type are selected, what is: The probability model used for this? The probability that between 3 and 5 (inclusive) are red? The probability that none are red? What is the mean number of red cars?
Quiz 10.25.2012 In a recent year, 20% of all luxury cars sold were red. If 15 cars of that year and type are selected, what is: Binomial with n = 15 and p = 0.20 P(X=3) + P(X=4) + P(X=5) = 0.2501 + 0.1876 + 0.1032 = 0.5409 P(X=0) = 0.03518 Mu = n*p = 15*0.20 = 3 Note: 2 and 3 can be solved easily with the Probability Distributions spreadsheet. Please see me if you do not understand how to use the spreadsheet or find the probability in minitab.
