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Mathematics, 20.02.2020 19:51 eviepack

In a taste test of a generic soda versus a brand name soda, 35% of tasters can distinguish between the colas. 30 tasters are asked to take the taste test and guess which cup contains the brand name soda. The tests are done independently in separate locations, so that the tasters do not interact with each other during the test.

a. The count of correct guesses in 30 taste tests has a Binomial distribution. What are n and p?
b. What is the mean number of correct guesses in many repetitions?
c. What is the probability of exactly 6 correct guesses?

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