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How many would you expect to make an error out of 100?

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Suppose on average 2% make an error on their tax return. Such errors are form a Bernoulli Process. If 100 are audited for errors.

a) How many would you expect to make an error out of 100?

b) Find the probability that 4 out of 100 made an error.

c) Find the probability 3 to 6 out of 100 made an error.

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p = 2% = 0.02, q = 1 - p = 0.98, n = 100

(a) Mean = np = 100 * 0.02 = 2

(b) P(x) = nCx ...

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