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A survey conducted by a statistics class found that 89.6% of students at MCC commute by vehicle daily (before the pandemic of course).

Assume that a new sample of 12 randomly selected students is asked if they commute by vehicle daily.

1. What is the variable? Is it discrete random or continuous random?Explain.

(3)

1. Explain how each of the 4 criteria of a binomial probability experiment are met.

(2)

1. Write out the binomial probability distribution functionfor this experiment.

(2)

1. What is the probability that exactly 6 out of the 12 individuals commute by vehicle daily?(1)

1. What is the probability that at least 9 out of the 12 individuals commute by vehicle daily?(1)