a more realistic setting. Of all patients admitted to a medical clinic, 30% fail to pay their bills and the debts are eventually forgiven. If the clinic treats 2000 different patients over a period of 1 year, what is the mean (expected) number of debts that have to be forgiven? If x is the number of forgiven debts in the group of 2000 patients, find the variance and standard deviation of x. What can you say about the probability that x will exceed 700? (HINT: Use the values of m and s, along with Tchebysheff’s Theorem, to answer this question.)

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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5.28 Medical Bills II Consider the medical payment
problem in Exercise 5.27 in a more realistic setting. Of
all patients admitted to a medical clinic, 30% fail to
pay their bills and the debts are eventually forgiven. If
the clinic treats 2000 different patients over a period of
1 year, what is the mean (expected) number of debts
that have to be forgiven? If x is the number of forgiven
debts in the group of 2000 patients, find the variance
and standard deviation of x. What can you say about
the probability that x will exceed 700? (HINT: Use the
values of m and s, along with Tchebysheff’s Theorem,
to answer this question.)

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