Suppose that, on average, 1 person in 1000 makes a numerical error in preparing his or her income tax return. If 10,000 returns are selected at random and examined, find the probability that $6,7,$ or 8 of them contain an error.
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Using the formula for the probability distribution, we have: \[ P(X=6) = \frac{e^{-10} \times 10^{6}}{6!} \] \[ P(X=6) = \frac{0.0000454}{720} \] \[ P(X=6) \approx 0.0630555 \] Show more…
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