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๐Ÿ“Š Binomial Distribution

Repeat the same trial n times โ€”
what's the probability of k successes?

When you independently repeat a trial with success probability p a total of n times, the probability of exactly k successes, P(X=k), is called the binomial distribution. Change n and p and see how the shape of the histogram changes, and where the mean (np) moves to.

Coin flip: Flip a coin n times, and see the probability of getting exactly k heads (success) shown as bars.
Number of trials n10
Success probability p50%
Mean E(X) = nร—p
Variance V(X) = nร—pร—(1โˆ’p)
Standard deviation โˆšV(X)