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In a poker game, 5 cards are dealt from a standard 52 card deck that has been well shuffled. You are the only player in this scenario.
a) How many 5 card hands are possible?
b) What is the probability that you are dealt two pairs?
c) What is the probability that you are dealt a three of a kind or 4 of a kind? Note: three of a kind means that the other 2 cards are NOT a pair.
d) What is the probability that you are dealt a full house (this is 3 of a kind and a pair)?
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Your office has just received 110 insurance claims to be processed in the next few days. What is the probability that fewer than 45 of the claims have been padded?
A local politician in this town has stated that the average property taxes are $1800 and most people do not pay more than this amount. Conduct a test at the alpha = .01 level to determine if this is true. For this test, consider a sample size of 3..
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