In Excel, which formula is used to compute binomial probabilities?

The formula used to compute binomial probabilities in Excel is indeed the one represented by the first choice, which is structured as =BINOM.DIST(X, N, P, TRUE/FALSE cumulative). This formula is designed specifically to calculate the probability of observing exactly X successes in N independent Bernoulli trials, where the probability of success in each trial is P.

In this formula, X is the number of successes, N is the number of trials, P is the probability of success on any given trial, and the last argument (TRUE or FALSE) determines whether the function returns the cumulative distribution function (TRUE) or the probability mass function (FALSE). This flexibility makes it suitable for a variety of scenarios in statistical analysis, allowing users to choose between calculating probabilities for a specific number of successes or for the cumulative probability up to a certain number of successes.

The other options do not represent valid Excel functions or do not exist with that specific naming convention. For example, the second option has an incorrect spelling of the function, while the third option does not match the official name and structure used in Excel. The fourth option mistakenly uses a different function name that is not recognized in Excel. Therefore, the first option is the correct choice for computing binomial probabilities