Binomial Probabilities


To use R in a Sage cell, the language must be set to R. See for details.

Here, we will calculate the probability of 2 successes in a binomial distribution of 10 trials with a probability of success of .05 using the dbinom command

Sage Cell


dbinom(x=2, size=10, prob=0.05)


Cumulative Probabilities

Using the pbinom command we can calculate the probability of any one of a set of successes. Given q successes in n trials, we may calculate the probability of q or fewer successes by setting lower.tail to TRUE or q or more successes by setting lower.tail to FALSE. The default value of lower.tail is TRUE


pbinom(q=2, size=10, prob=0.30, lower.tail=TRUE)
pbinom(q=4, size=10, prob=0.30, lower.tail=FALSE)


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Date: 16 Apr 2019 02:02

Submitted by: Zane Corbiere

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