The amount of potassium in food varies, but bananas are often associated with high potassium, with approximately 422 mg in a medium-sized banana. Suppose the distribution of potassium in a banana is normally distributed, with mean equal to 422 mg and standard deviation equal to 17 mg per banana. You eat n = 7 bananas per day, and 7 is the total number of milligrams of potassium you receive from them. USE SALT (a) Find the mean and standard deviation of T (in mg). (Round your standard deviation to four decimal places.) mean mg mg standard deviation (b) Find the probability that your total daily intake potassium from the seven bananas will exceed 3,000 mg. (Round your answer four decimal places.)

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