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Statistics / The Practice of Statistics 5 / Chapter 6.2 / Problem 65

The Practice of Statistics | 5th Edition | ISBN: 9781464108730 | Authors: Daren S. Starnes, Josh Tabor

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Solved: Multiple choice: Select the best answer for Exercises 65 and 66, which refer to

Chapter 6, Problem 65

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QUESTION:

Multiple choice: Select the best answer for Exercises 65 and 66, which refer to the following setting. The number of calories in a 1-ounce serving of a certain breakfast cereal is a random variable with mean 110 and standard deviation 10. The number of calories in a cup of whole milk is a random variable with mean 140 and standard deviation 12. For breakfast, you eat 1 ounce of the cereal with 1/2 cup of whole milk. Let T be the random variable that represents the total number of calories in this breakfast.

The mean of T is

(a) 110. (b) 140. (c) 180. (d) 195. (e) 250.

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QUESTION:

Multiple choice: Select the best answer for Exercises 65 and 66, which refer to the following setting. The number of calories in a 1-ounce serving of a certain breakfast cereal is a random variable with mean 110 and standard deviation 10. The number of calories in a cup of whole milk is a random variable with mean 140 and standard deviation 12. For breakfast, you eat 1 ounce of the cereal with 1/2 cup of whole milk. Let T be the random variable that represents the total number of calories in this breakfast.

The mean of T is

(a) 110. (b) 140. (c) 180. (d) 195. (e) 250.

ANSWER:

Step 1 of 4

Let be a random variable denoting the number of calories in a 1 ounce of cereal, and be a random variable denoting the number of calories in a full cup of milk.

The random variable and are independent variable and follows the normal distribution.

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