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The question provided asks to find the probability that a randomly selected student from a class of 100 students has scored within specific ranges.

Here is a summary of the dataThe question provided asks to find the probability that a randomly selected student from a class of 100 students has scored within specific ranges.

Here is a summary of the 

| Marks scored | No. of students |
|--------------|-----------------|
| 0-10         | 4               |
| 10-20        | 5               |
| 20-30        | 9               |
| 30-40        | 7               |
| 40-50        | 13              |
| 50-60        | 12              |
| 60-70        | 15              |
| 70-80        | 11              |
| 80-90        | 14              |
| 90-100       | 10              |

Total number of students = 100.

### Let's solve each option:

1. **Option (a): Probability that the student scored less than 20.**
   - Number of students who scored in the range 0-20 (i.e., 0-10 and 10-20) = \( 4 + 5 = 9 \).
   - Probability = \( \frac{9}{100} = 0.09 \).

2. **Option (b): Probability that the student scored below 60 but more than or equal to 30.**
   - Number of students who scored between 30 and 60 (i.e., 30-40, 40-50, and 50-60) = \( 7 + 13 + 12 = 32 \).
   - Probability = \( \frac{32}{100} = 0.32 \).

3. **Option (c): Probability that the student scored 70 or more.**
   - Number of students who scored 70 or more (i.e., 70-80, 80-90, 90-100) = \( 11 + 14 + 10 = 35 \).
   - Probability = \( \frac{35}{100} = 0.35 \).

4. **Option (d): Probability that the student scored above 89.**
   - Only students who scored in the 90-100 range satisfy this condition = 10 students.
   - Probability = \( \frac{10}{100} = 0.10 \).

### Answers:
- (a) \( 0.09 \)
- (b) \( 0.32 \)
- (c) \( 0.35 \)
- (d) \( 0.10 \)

Would you like more details or have any questions?

Here are 5 related questions to expand your understanding:
1. What is the probability of selecting a student who scored between 40 and 80?
2. If two students are selected at random, what is the probability that both scored less than 30?
3. What is the probability of selecting a student who scored either below 40 or above 80?
4. How does the total number of students affect the probabilities in such a distribution?
5. Can you calculate the probability of selecting a student who scored between 50 and 100?

**Tip:** To calculate probability, divide the favorable outcomes by the total number of possible outcomes.

A student in the class is selected at random. Find the probability that the student has scored:
(a) less than 20.
(b) below 60 but 30 or more.
(c) more than or equal to 70.
(d) above 89.

Find the probability that a randomly selected student from a class of 100 students has scored within various ranges, such as less than 20, between 30 and 60, and more. This problem involves the basic concept of probability and data distribution, suitable for students in Grades 9-10.

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