Hypergeometric Distribution Calculator

How to Use the Hypergeometric Distribution Calculator

This guide will walk you through the process of using the Hypergeometric Distribution Calculator to compute probability, mean, variance, and standard deviation. Follow these steps carefully to ensure accurate results.

Step 1: Enter the Population Size

Begin by entering the total population size in the Population Size (N) field. This is the size of the entire group you are drawing from. Ensure that this number is a positive integer greater than or equal to 1.

Step 2: Enter the Number of Successes in Population

Next, input the number of successes in the entire population into the Number of Successes in Population (K) field. This value must be a non-negative integer, indicating how many items in the population satisfy the condition of success.

Step 3: Enter the Sample Size

Proceed by entering the sample size in the Sample Size (n) field. This is the number of items you will draw from the population. It should be a positive integer, and typically, it should be smaller than or equal to the population size.

Step 4: Enter the Number of Successes in Sample

Finally, fill out the Number of Successes in Sample (k) field. This is the number of successes you observe in your sample. The value should be a non-negative integer and generally less than or equal to the number of successes in the population.

Step 5: Calculate the Results

After entering all the required values, the calculator will compute the following results:

• Probability P(X = k): This provides the probability of observing exactly k successes in the sample.
• Mean (Expected Value): Displays the expected number of successes in the sample.
• Variance: Gives the variance of the number of successes in the sample, showing the measure of dispersion.
• Standard Deviation: This is the square root of variance, indicating the average deviation from the mean.

The results will be displayed with appropriate precision, showing up to six decimal places for probability and up to four decimal places for mean, variance, and standard deviation.

Conclusion

By following the above steps, you can effectively use the Hypergeometric Distribution Calculator to analyze the probability distribution based on your sample data and population parameters. Ensure all inputs are accurate for dependable results.