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Potassium Requirement. The normal daily potassium requirement for humans falls within the range of 2,000 to 6,000 milligrams (mg), with larger amounts needed during the hot summer months. The potassium content in different foods varies, but measurements indicate that bananas contain a high level of potassium, with approximately 422 mg in a medium-sized banana. Suppose the distribution of potassium in bananas is normally distributed, with a mean equal to 422 mg and a standard deviation of 13 mg per banana. You consume milligrams of potassium from them. n = 3 bananas per day, and T is the total number of milligrams of potassium you receive from them. a. Find the mean and standard deviation of T. b. Find the probability that your daily potassium intake from the three bananas exceeds 1,300 mg. (Hint: Note that T is the sum of three random variables X1, X2, and X3, where X1 is the amount of potassium in banana 1, etc.)

Potassium Requirement. The normal daily potassium requirement for humans falls within the range of 2,000 to 6,000 milligrams (mg), with larger amounts needed during the hot summer months. The potassium content in different foods varies, but measurements indicate that bananas contain a high level of potassium, with approximately 422 mg in a medium-sized banana. Suppose the distribution of potassium in bananas is normally distributed, with a mean equal to 422 mg and a standard deviation of 13 mg per banana. You consume milligrams of potassium from them. n = 3 bananas per day, and T is the total number of milligrams of potassium you receive from them. a. Find the mean and standard deviation of T. b. Find the probability that your daily potassium intake from the three bananas exceeds 1,300 mg. (Hint: Note that T is the sum of three random variables X1, X2, and X3, where X1 is the amount of potassium in banana 1, etc.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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  1. Potassium Requirement. The normal daily potassium requirement for humans falls within the range of 2,000 to 6,000 milligrams (mg), with larger amounts needed during the hot summer months. The potassium content in different foods varies, but measurements indicate that bananas contain a high level of potassium, with approximately 422 mg in a medium-sized banana. Suppose the distribution of potassium in bananas is normally distributed, with a mean equal to 422 mg and a standard deviation of 13 mg per banana. You consume milligrams of potassium from them.

n = 3 bananas per day, and T is the total number of milligrams of potassium you receive from them.

a. Find the mean and standard deviation of T.

b. Find the probability that your daily potassium intake from the three bananas exceeds 1,300 mg. (Hint: Note that T is the sum of three random variables X1, X2, and X3, where X1 is the amount of potassium in banana 1, etc.) 

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