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Suppose the company that makes Sweet Tarts states that the proportion of orange candies in a bag is 27%. Step 1 of 4: What is the expected number of orange Sweet Tarts in a large bag of 326?

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Final answer:

To determine the expected number of orange Sweet Tarts in a bag of 326 candies, multiply the total number of candies (326) by the proportion of orange candies (0.27), which equals approximately 88 orange candies.

Step-by-step explanation:

The student has asked about the expected number of orange Sweet Tarts in a large bag of candy. To find this, we multiply the total number of candies by the proportion that is expected to be orange. Given that the proportion of orange candies is 27%, for a large bag containing 326 candies, we calculate the expected number as follows:

Expected number of orange candies = total number of candies × proportion of orange candies

= 326 × 0.27

When you calculate this, you get:

= 88.02

Therefore, the expected number of orange Sweet Tarts in a large bag of 326 candies is approximately 88.

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