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According to Virgin Vacations, 50% of the workers in Amsterdam commute to work by bicycle, making it ‘The Bike Capital of the World’. If 25 Amsterdam workers are randomly selected, what is the expected numbers that commute to work by bicycle? Graph the binomial distribution for this sample. What are the mean and the standard deviation for this distribution? What is the probability that more than 12 of the selected workers commute to work by bicycle? Explain conceptually and from the graph why you would get this probability. Suppose you randomly sample 25 Amsterdam workers and actually get 14 who commute to work by bicycle. Is this outcome likely?

 

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