The total grams of fat in three different desserts are 16 g, 24 g, and 30 g. The probablity of choosing a dessert with 16 grams of fat is. The probability of choosing a dessert with 24 grams of fat is The probability of choosing a dessert with 30 grams of 12 fat is . What is the expected value of the grams of fat in a dessert? 0 26 0 27 0 20 0 23

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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**Problem: Expected Value of Grams of Fat in Desserts**

The total grams of fat in three different desserts are 16 g, 24 g, and 30 g. The probability of choosing a dessert with 16 grams of fat is \(\frac{1}{6}\). The probability of choosing a dessert with 24 grams of fat is \(\frac{7}{12}\). The probability of choosing a dessert with 30 grams of fat is \(\frac{1}{6}\).

**Question:**

What is the expected value of the grams of fat in a dessert?

- ○ 26
- ○ 27
- ○ 20
- ○ 23

**Explanation:**

To calculate the expected value, multiply each outcome by its probability and sum the results:

\[
\text{Expected Value} = (16 \times \frac{1}{6}) + (24 \times \frac{7}{12}) + (30 \times \frac{1}{6})
\]
Transcribed Image Text:**Problem: Expected Value of Grams of Fat in Desserts** The total grams of fat in three different desserts are 16 g, 24 g, and 30 g. The probability of choosing a dessert with 16 grams of fat is \(\frac{1}{6}\). The probability of choosing a dessert with 24 grams of fat is \(\frac{7}{12}\). The probability of choosing a dessert with 30 grams of fat is \(\frac{1}{6}\). **Question:** What is the expected value of the grams of fat in a dessert? - ○ 26 - ○ 27 - ○ 20 - ○ 23 **Explanation:** To calculate the expected value, multiply each outcome by its probability and sum the results: \[ \text{Expected Value} = (16 \times \frac{1}{6}) + (24 \times \frac{7}{12}) + (30 \times \frac{1}{6}) \]
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