Question: Manager of billing, Fred Sharpie, at St. Abundius Hospital ¹ in Prescott has been worried about the number of billing errors that have been made at the hospital. Fried said, " You know that the feds aren’t paying for our mistakes any more – that’s just not fair. Why should we get stuck with the bills? " (Fred has an unusual sense of ethics, doesn’t he?) Using the binomial distribution answer the following questions about a random sample of 25 bills that Fred has drawn from his billing population.

1. The probability of 5 bills will be without any error if the probability of success = 0.40.
2. The probability of at least 7 bills will be without any error if the probability of success = 0.25.
   C) The probability of between 8 and 12 bills will be without any error if the probability of success = 0.35.
   
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