The amount of potassium in food varies, but bananas are often associated with high potassium, with approximately 422 mg in a medium-sized banana.t Suppose the distribution of potassium in a banana is normally distributed, with mean equal to 422 mg and standard deviation equal to 19 mg per banana. You eat n = 8 bananas per day, and T is the total number of milligrams of potassium you receive from them. In USE SALT (a) Find the mean and standard deviation of T (in mg). (Round your standard deviation to four decimal places.) mean mg standard deviation mg (b) Find the probability that your total daily intake of potassium from the eight bananas will exceed 3,400 mg. (Round your answer to four decimal places.) You may need to use the appropriate appendix table to answer this question.

A First Course in Probability (10th Edition)
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The amount of potassium in food varies, but bananas are often associated with high potassium, with approximately 422 mg
in a medium-sized banana.t Suppose the distribution of potassium in a banana is normally distributed, with mean equal to
422 mg and standard deviation equal to 19 mg per banana. You eat n = 8 bananas per day, and T is the total number of
milligrams of potassium you receive from them.
n USE SALT
(a) Find the mean and standard deviation of T (in mg). (Round your standard deviation to four decimal places.)
mean
mg
standard deviation
mg
(b) Find the probability that your total daily intake of potassium from the eight bananas will exceed 3,400 mg. (Round
your answer to four decimal places.)
You may need to use the appropriate appendix table to answer this question.
Transcribed Image Text:The amount of potassium in food varies, but bananas are often associated with high potassium, with approximately 422 mg in a medium-sized banana.t Suppose the distribution of potassium in a banana is normally distributed, with mean equal to 422 mg and standard deviation equal to 19 mg per banana. You eat n = 8 bananas per day, and T is the total number of milligrams of potassium you receive from them. n USE SALT (a) Find the mean and standard deviation of T (in mg). (Round your standard deviation to four decimal places.) mean mg standard deviation mg (b) Find the probability that your total daily intake of potassium from the eight bananas will exceed 3,400 mg. (Round your answer to four decimal places.) You may need to use the appropriate appendix table to answer this question.
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