https://file.aiquickdraw.com/mathbot/file/1725540542512lx0rogyl.jpg

In the image, the problem asks to choose the correct graph that represents the scenario. Here is a detailed breakdown:

The problem appears to be about the **normal distribution** of the time to complete a test. It mentions:
- The **time** to complete the test is normally distributed.
- The **mean** time is **10 minutes**.
- The **standard deviation** is **1 minute**.
- The goal is to determine the **probability** of a randomly selected subject completing the test in **less than 9 minutes**.

### Key points:
1. The **normal distribution** is centered at the mean (10 minutes).
2. You're asked to find the probability of a test being completed **in less than 9 minutes**, which corresponds to the area under the curve to the **left of 9** on a normal distribution curve.

### How to Solve:
- Since the mean is 10 and the standard deviation is 1, the point 9 minutes is exactly **1 standard deviation below the mean**.
- The area under the curve to the left of 9 minutes represents the cumulative probability.

### Correct Graph:
Look for the graph that shows:
- A **shaded area to the left of 9 minutes**.
- The curve should be centered at 10 minutes (the mean), and 9 minutes should be 1 standard deviation away to the left.

The correct graph will have shading starting from the leftmost side of the graph and extending to the point labeled **9 minutes**.

Based on the image, the correct answer appears to be **graph B**, as it is the one with the shaded region to the left of 9 minutes.

Would you like further explanation on how to calculate the area under the normal curve or any additional details on normal distributions?

### Relative Questions:
1. How is the cumulative probability in a normal distribution calculated?
2. What is the empirical rule for standard deviations in a normal distribution?
3. What is the significance of z-scores in normal distribution problems?
4. How do you compute the probability for values greater than a given point in a normal distribution?
5. How can we use the standard normal table to find probabilities?

### Tip:
When solving normal distribution problems, always visualize the mean and standard deviation on the curve to better understand the shaded areas representing probabilities.

Assume that a randomly selected subject is given a basic skills test. The test time is normally distributed with a mean of 10 and a standard deviation of 1. Choose the correct graph that shows the probability of completing the test in less than 9 minutes.

Learn how to solve a normal distribution problem involving test completion time. Given a mean of 10 minutes and a standard deviation of 1 minute, find the probability of a test subject finishing in less than 9 minutes using a standard normal curve.

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