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Questions 1-4 A jury of 12 persons is to be chosen randomly from a group of 30 potential jurors that consists of 20 females and

Questions 1-4

A jury of 12 persons is to be chosen randomly from a group of 30 potential jurors that consists of 20 females and 10 males. Let X be the number of female jurors.

What is the expected value?
What is the approximate standard deviation?
What is the probability that 13 females are chosen?
What is the approximate probability that there would be exactly 8 female jurors?

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