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Simple Random Sample Probability Calculator

Simple Random Sample Probability Formula:

\[ P = \frac{1}{N} \]

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1. What is Simple Random Sample Probability?

Simple Random Sample Probability represents the chance that any single individual in a population will be selected in a simple random sample. It is calculated as the reciprocal of the population size.

2. How Does the Calculator Work?

The calculator uses the simple random sample probability formula:

\[ P = \frac{1}{N} \]

Where:

Explanation: In simple random sampling, every individual in the population has an equal chance of being selected, which is exactly 1 divided by the total population size.

3. Importance of Simple Random Sampling

Details: Simple random sampling is a fundamental sampling technique where each member of a population has an equal probability of being chosen. This method helps eliminate selection bias and ensures that the sample is representative of the entire population.

4. Using the Calculator

Tips: Enter the total population size (must be a positive integer greater than 0). The calculator will compute the probability that any single individual will be selected in a simple random sample.

5. Frequently Asked Questions (FAQ)

Q1: What is simple random sampling?
A: Simple random sampling is a sampling method where each member of a population has an equal and independent chance of being selected.

Q2: When should I use simple random sampling?
A: Use simple random sampling when the population is homogeneous and you want to ensure each member has an equal chance of selection without any bias.

Q3: What are the limitations of simple random sampling?
A: It may not be practical for very large populations, can be time-consuming, and may not capture subgroups adequately if they are small.

Q4: How does population size affect the probability?
A: As population size increases, the probability of any single individual being selected decreases proportionally.

Q5: Can this probability be greater than 1?
A: No, probability values range from 0 to 1, where 0 means impossible and 1 means certain.

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