Red snapper is a rare and expensive reef fish served at upscale restaurants. A c

Question

Red snapper is a rare and expensive reef fish served at upscale restaurants. A certain law prohibits restaurants from serving a cheaper, look-alike variety of fish (vermilion snapper or lane snapper) to customers who order red snapper. Researchers at a university used DNA analysis to examine fish specimens labeled "red snapper" that were purchased form vepdors across the country. The DNA tests revealed that 74% of the specimens were not red snapper, but the cheaper, look-alike variety of fish. Assuming that the results of the DNA analysis are valid, what is the probability that you are actually served red snapper the next time you order it at a restaurant? The probability is 0.26. (Round to the nearest hundredth as needed.) if there are five customers at a restaurant, all who have ordered red snapper, what is the probability that at least one customer is actually served red snapper? The probability is. (Round to four decimal places as needed.)

Explanation / Answer

b)

P( at least 1) = 1 - P(x=0)

P(x=0)= 5C0 * 0.26^0 * 0.74^5 = 0.2219

P( at least 1 ) = 1 - 0.2219 = 0.7781

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