8-14. A nutritionist claims that about 50% of the individuals tasting a new soft drink can detect...

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8-14. A nutritionist claims that about 50% of the individuals tasting a new soft drink can detect the presence of a certain artificial sweetener. If the claim is correct, find the probability that out of a random sample of size n = 70, 30 or fewer individuals detect the sweetener. What is the probability that more than 60 detect it?

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