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 T 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 of potassium from the seven bananas will exceed 3,000 mg. (Round your answer to four decimal places.)
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 T 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 of potassium from the seven bananas will exceed 3,000 mg. (Round your answer to four decimal places.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![**Educational Website Content on Potassium in Bananas**
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 a mean equal to 422 mg and a standard deviation equal to 17 mg per banana. You eat \( n = 7 \) bananas per day, and \( T \) is the total number of milligrams of potassium you receive from them.
**Task:**
(a) Calculate the mean and standard deviation of \( T \) (in mg). (Round your standard deviation to four decimal places.)
- Mean: [Input Box] mg
- Standard Deviation: [Input Box] mg
(b) Determine the probability that your total daily intake of potassium from the seven bananas will exceed 3,000 mg. (Round your answer to four decimal places.)
- Probability: [Input Box]
**Note:** This exercise involves statistical concepts such as normal distribution and probability calculation.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbff43673-f06b-43ca-b409-46eb420ace6b%2F9fc3694c-5561-456d-b04c-fa4d0f65f2a8%2Fvecph2v_processed.png&w=3840&q=75)
Transcribed Image Text:**Educational Website Content on Potassium in Bananas**
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 a mean equal to 422 mg and a standard deviation equal to 17 mg per banana. You eat \( n = 7 \) bananas per day, and \( T \) is the total number of milligrams of potassium you receive from them.
**Task:**
(a) Calculate the mean and standard deviation of \( T \) (in mg). (Round your standard deviation to four decimal places.)
- Mean: [Input Box] mg
- Standard Deviation: [Input Box] mg
(b) Determine the probability that your total daily intake of potassium from the seven bananas will exceed 3,000 mg. (Round your answer to four decimal places.)
- Probability: [Input Box]
**Note:** This exercise involves statistical concepts such as normal distribution and probability calculation.
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