BINOM.DIST

The BINOM.DIST function calculates the probability of a specific number of successes in a set number of independent trials, each with a constant probability of success.

Syntax 🔗

=BINOM.DIST(number_s, trials, probability_s, cumulative)

number_s The number of successful trials for which you want to find the probability.
trials The number of independent trials.
probability_s The probability of success on each trial.
cumulative A logical value that determines the type of distribution to use. If TRUE, it returns the cumulative distribution function; if FALSE, it returns the probability mass function.

About BINOM.DIST 🔗

Use the BINOM.DIST function in Excel to calculate the probability of achieving a certain number of successes in a fixed number of trials. This function is useful in scenarios like analyzing multiple success-failure experiments or predicting specific outcomes in fields such as statistics, quality control, and experimental research. By providing the number of successes you seek, the total number of trials, the probability of success, and choosing between a cumulative or non-cumulative distribution, you can evaluate the likelihood of a particular outcome. This function helps you make informed decisions in a variety of situations.

Examples 🔗

Suppose you conduct 10 independent trials, each with a 20% chance of success. You want to find the probability of exactly 3 successes. You can use the BINOM.DIST function with the following formula to calculate this probability: =BINOM.DIST(3, 10, 0.2, FALSE)

Consider a quality control process that involves 12 inspection trials per day, with a 10% chance of defective products in each trial. You aim to find the cumulative probability of having no more than 2 defective products per day over the course of 12 trials. Using the BINOM.DIST function, the formula would be: =BINOM.DIST(2, 12, 0.1, TRUE)

Notes 🔗

Ensure the values you provide for the arguments are suitable for your context and align with the characteristics of the trials and success probabilities. Understand the nature of your problem and choose the appropriate distribution type—cumulative or non-cumulative—when using the BINOM.DIST function.

Questions 🔗

What does the 'cumulative' argument determine in the BINOM.DIST function?

The 'cumulative' argument in the BINOM.DIST function determines the type of distribution to use. If set to TRUE, the function returns the cumulative distribution function (CDF), which represents the probability of having at most the specified number of successful trials. If set to FALSE, the function returns the probability mass function (PMF), providing the probability of obtaining exactly the specified number of successful trials.

Can the BINOM.DIST function be used for scenarios with varying probabilities of success in each trial?

No, the BINOM.DIST function is designed for scenarios where the probability of success remains constant across all trials. It calculates the probability of a specific number of successes in a fixed number of independent trials, assuming a constant probability of success on each trial.

BINOM.INV
BINOM.DIST.RANGE
CONFIDENCE.T
NEGBINOM.DIST
POISSON.DIST

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