SOLUTION: I have a binomial question and it has been too long since I have done any, please help: Information: Do you try to pad an insurance claim to cover your deductible? About 40% o

Question 411409: I have a binomial question and it has been too long since I have done any, please help:
Information:
Do you try to pad an insurance claim to cover your deductible? About 40% of all U.S. adults will try to pad their insurance claims! Suppose that you are the director of an insurance adjustment office. Your office has just received 128 insurance claims to be processed in the next few days. What is the probability that:
(a) Half or more of the claims have been padded?
(b) 44 or less of the claims have been padded?
(c) From 40 to 64 of the claims have been padded?

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Do you try to pad an insurance claim to cover your deductible? About 40% of all U.S. adults will try to pad their insurance claims! Suppose that you are the director of an insurance adjustment office. Your office has just received 128 insurance claims to be processed in the next few days.
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Binomial with n = 128 and p = 0.4
===
What is the probability that:
(a) Half or more of the claims have been padded?
P(x >= 61) = 1 - binomcdf(128,0.4,60) = 0.0475
Used TI-84 calculator.
--------------------------------
(b) 44 or less of the claims have been padded?
binomcdf(128,0.4,44) = 0.1127
--------------------------------
(c) From 40 to 64 of the claims have been padded?
binomcdf(128,0.4,64)-binomcdf(128,0.4,39) = 0.9751
======================================================
Cheers,
Stan H.
============

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