This calculation is made easy using the options available on the binomial distribution calculator. You can change the settings to calculate the probability of getting: Exactly r successes: P(X = r) r or more successes: P(X ≥ r) r or fewer successes: P(X ≤ r) Between r₀ and r₁ successes P(r₀ ≤ X ≤ r₁)In each particular trial, the probability of drawing a red, white, or black ball is 0.5, 0.3, and 0.2, respectively. So = 0.5, = 0.3, and = 0.2. We plug this input into our multinomial distribution calculator and easily get the result = 0.15. Thus, the probability of selecting exactly 3 red balls, 1 white ball and 1 black ball is 0.15.

The Poisson distribution is one of the most commonly used distributions in statistics. This calculator finds Poisson probabilities associated with a provided Poisson mean and a value for a random variable. λ (average rate of success) x (random variable) P (X = 3 ): 0.14037. P (X < 3 ): 0.12465. P (X ≤ 3 ): 0.26503.This normal distribution calculator (also a bell curve calculator) calculates the area under a bell curve and establishes the probability of a value being higher or lower than any arbitrary value X.

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