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Binomial Probabilities Sample size Data Probabilities of an event of interest Mean Variance Standard deviation Parameters Binomial Probabilities Table X P(X) 1 P(X>=4)= 5.12

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Binomial Probabilities Sample size Data Probabilities of an event of interest Mean Variance Standard deviation Parameters Binomial Probabilities Table X P(X) 1 P(X>=4)= 5.12 In the last quarter of 2018, 47% of U.S. smartphone owners owned an iPhone. Source: Data extracted from pewrsr.ch/2riDGV6. Using the binomial distribution, what is the probability that of the next six Americans who own a smartphone surveyed, a.four will own an iPhone? b.all six will own an iPhone? c.at least four will own an iPhone? d. What are the mean and standard deviation of the number of American smartphone owners who own an iPhone in a survey of six? e. What assumptions do you need to make in (a) through (c)?

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