https://file.aiquickdraw.com/mathbot/file/17270514145996i6y9jua.jpg

Let's analyze the box-and-whisker plot to calculate the probabilities.

The plot represents stock prices with key values at:
- Minimum: 14
- First quartile (Q1): 25
- Median: 35
- Third quartile (Q3): 57
- Maximum: 92

Now, we will determine the probabilities for each part:

### (a) Probability the stock price is less than $25:
The minimum value is 14, and Q1 is 25. Since 25 is the first quartile, 25% of the data is below this value.

Thus, **the probability is 0.25**.

### (b) Probability the stock price is between $25 and $57:
From Q1 to Q3 (25 to 57) represents the interquartile range, which contains 50% of the data.

Thus, **the probability is 0.50**.

### (c) Probability the stock price is $35 or more:
To calculate this:
- The median is 35, meaning 50% of the data is greater than or equal to this value.

Thus, **the probability is 0.50**.

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If you have any questions or need further details, feel free to ask!

### Related questions:
1. How do you interpret the interquartile range in a box plot?
2. What is the importance of the median in statistical data?
3. How would the probabilities change if the stock prices followed a normal distribution?
4. Can a box-and-whisker plot show the exact distribution of data points?
5. What other measures of central tendency are useful in analyzing stock prices?

**Tip:** The box-and-whisker plot is especially useful for quickly identifying the spread and central tendency of data in a visual format.

An individual stock is selected at random from the portfolio represented by the box-and-whisker plot. Find the probability that the stock price is (a) less than $25, (b) between $25 and $57, and (c) $35 or more.

Calculate the probability for stock prices based on a box-and-whisker plot: (a) less than $25, (b) between $25 and $57, and (c) $35 or more. This solution focuses on understanding quartiles and probability distribution using visual data representation.

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