SOLUTION: records show that 12% of all patients admitted to a medical clinic fail to pay their bills and that eventually the bills are forgiven. Suppose n = 12 new patients represent a rand

Question 844258: records show that 12% of all patients admitted to a medical clinic fail to pay their bills and that eventually the bills are forgiven. Suppose n = 12 new patients represent a random selection from the large set of prospective patients served by the clinic. Find the probability that:
at most seven of the patient's bills will eventually have to be forgiven?
none of the patients bills have to be forgiven?
between six and eight of the patients will have their bill forgiven?
Thank you in advance for your help.

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
records show that 12% of all patients admitted to a medical clinic fail to pay their bills and that eventually the bills are forgiven.
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Suppose n = 12 new patients represent a random selection from the large set of prospective patients served by the clinic.
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Find the probability that:
1)at most seven of the patient's bills will eventually have to be forgiven?
none of the patients bills have to be forgiven?
P(0<= x <=7) = binomcdf(12,0.12,7) = 0.999986..
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between six and eight of the patients will have their bill forgiven?
P(6<= x <=8) = binomcdf(12,0.12,8)-binomcdf(12,0.12,5) = 1- 0.9986 = 0.0014
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Cheers,
Stan H.
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