The BINOM.INV function in Google Sheets is a powerful statistical tool used to determine the smallest value for which the cumulative binomial distribution is greater than or equal to a specified probability. This can be particularly useful in various fields such as decision-making, finance, and quality control, where understanding risk and probabilities is crucial.

Syntax

BINOM.INV(trials, probability_s, alpha)

• trials: The total number of independent trials in the binomial experiment.
• probability_s: The probability of success on an individual trial.
• alpha: The threshold probability, which specifies the cumulative probability cutoff.

Example #1

BINOM.INV(10, 0.5, 0.7)

This function would return the smallest number of successes in 10 trials where the probability of success is 0.5, ensuring that the cumulative probability meets or exceeds 0.7. Result: 7.

Example #2

BINOM.INV(20, 0.3, 0.5)

This function calculates the least number of successes required in 20 trials with a success rate of 0.3, in order for the cumulative probability to be 0.5 or higher. Result: 9.

Example #3

BINOM.INV(15, 0.4, 0.6)

In this example, the function determines the minimum successful outcomes needed in 15 trials, where the chance of success is 0.4, to reach a cumulative probability of 0.6. Result: 7.

Error handling

• NUM!: Occurs when parameters are not valid, such as if trials is less than 0.
• VALUE!: Returned when the probability or alpha parameters are not between 0 and 1.
• NA!: Happens when there is no successful outcome that meets the specified probability threshold.

Conclusion

In summary, the BINOM.INV function in Google Sheets is essential for users who need to analyze probabilities in various scenarios, making it easier to tackle questions related to success rates in trials. By grasping the parameters and their functional use, one can effectively leverage this powerful statistical tool in decision-making processes.