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WINSTONCH [101]
2 years ago
5

The number of calories in a 1-ounce serving of a certain breakfast cereal is a random variable with mean 110 and standard deviat

ion 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 standard deviation of mathrmT is:

a. 22
b. 16
c. 15.62.
d. 11.66
e. 4
Mathematics
1 answer:
Sergio [31]2 years ago
8 0

We want to find the standard deviation of a sum to know the standard deviation on the number of calories on a breakfast.

We will see that the correct option is b; 16.

First, we know that:

  • 1 Lb of cereal has a standard deviation of 10 calories.
  • 1 cup of milk has a standard deviation of 12 calories.

The breakfast is:

1 Lb of cereal and 1/2 cup of milk.

The 1Lb of cereal adds 10 calories to the standard deviation.

And if a cup of milk has a standard deviation of 12 calories, then half a cup has half that standard deviation, so it is 6 calories.

And in <u>addition or subtraction</u>, the standard deviation of the operation is given as the<u> sum of the</u><u> standard deviation </u><u>of each element</u>, so the total standard deviation of the breakfast is:

10 calories + 6 calories = 16 calories.

So the correct option is b.

If you want to learn more, you can read:

brainly.com/question/12402189

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