In a large city one person in five is left-handed. (a) Find the probability that in a

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In a large city one person in five is left-handed.

(a) Find the probability that in a random sample of ten people (i) exactly three will be left-handed, (C) (ii) more than half will be left-handed.

(b) Find the most likely number of left-handed people in a random sample of 12 people.

(c) Find the mean and the standard deviation of the number of left-handed people in a random sample of 25 people.

(d) How large must a random sample be if the probability that it contains at least one left- handed person is to be greater than 0.95?

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