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In: Statistics and Probability

The percent of blue-eyed people in the US is estimated to be about 15%. A random...

The percent of blue-eyed people in the US is estimated to be about 15%. A random sample of 20 Providence College students is taken.
a) Use the binomial distribution to find the probability that [Round to 4 decimal places .XXXX]
(i) None of the 20 students have blue eyes.
(ii) at most 5 have blue-eyes
(iii) 3 or more have blue-eyes
b )Find the expected number of students who would have blue-eyes in a random sample of 20.

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