https://file.aiquickdraw.com/mathbot/file/1725852313345n04zj1ml.jpg

The image presents a probability density curve for the GPA of graduating seniors at a large university, and there are two parts to the problem:

### Part 1:
You are asked to find the proportion of seniors whose GPAs lie between 2.5 and 3.0. From the graph, it looks like the shaded area between 2.5 and 3.0 is 0.08. This area represents the probability of selecting a senior whose GPA lies in that interval, so the answer would be:

\[
\boxed{0.08}
\]

### Part 2:
This question asks you to find the probability of choosing a senior with a GPA greater than 3.5. The area to the right of 3.5 in the graph is given as 0.25, meaning the proportion of students with GPAs above 3.5 is:

\[
\boxed{0.25}
\]

Would you like more detailed steps or explanations about these concepts?

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Here are five related questions you might find helpful:
1. How do we calculate the probability of a continuous random variable in a given interval?
2. What does the total area under a probability density function represent?
3. Can a probability for a continuous variable ever be negative or exceed 1?
4. How would the shape of the graph change if the mean GPA were higher or lower?
5. How do you calculate probabilities for normal distributions without a graph?

**Tip:** The area under a probability density curve between two points represents the probability that a random variable lies between those points.

The problem involves finding the probability based on a probability density curve representing the GPAs of graduating seniors at a university.

Learn how to calculate the proportion of seniors whose GPAs lie between two values and find the probability that a randomly chosen senior has a GPA greater than 3.5. The problem uses the concept of a probability density function and areas under the curve to determine probabilities for continuous variables.

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