An evaluation of a small business by an accounting firm either reveals a problem

Question

An evaluation of a small business by an accounting firm either reveals a problem with the accounts or it doesn't reveal a problem. Also, the evaluation is either done accurately or incorrectly. The probability that the evaluation is done accurately is 0.85. Furthermore, the probability that the evaluation is done incorrectly and that it reveals a problem is 0.10. If the probability that the evaluation is done accurately and it does not reveal a problem is 0.25. What is the probability that the evaluation does not reveal a problem? A. 0.10 B. 0.20 C. 0.30 D. 0.40 A random sample of 15 people is taken from a population in which 40% favor a particular political stand. What is the probability that exactly 6 individuals in the sample favor this political stand? A. 0.4000 B. 0.5000 C. 0.4000 D. 0.2070

Explanation / Answer

Q2)

P(X=6) = ?

n = 15

p = .4

P(X=6) = 15C6(.4^6)(.6^9) = .2066 or .2070

D is the right option

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