suppose that p is the probability that a randomly selected person is left-handed. The value (1 − ?) is the probability that the person is not left-handed. In a sample of 100 people, the function ?(?) = 100?(1 − ?) represents the variance of the number of left-handed people in a group of 100. a. What value of p maximizes the variance? b. What is the maximum variance?

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suppose that p is the probability that a randomly selected person is left-handed. The value
(1 − ?) is the probability that the person is not left-handed. In a sample of 100 people, the
function ?(?) = 100?(1 − ?) represents the variance of the number of left-handed people in a
group of 100.
a. What value of p maximizes the variance?
b. What is the maximum variance?

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