🪙 בינעמיאַלער מעגלעכקייט־רעקאַלער

װײַז די װײַז־פּראָגראַם

the probability of exactly k successes, P(X = k) = C(n, k)·pᵏ·(1 − p)ⁿ⁻ᵏ, along with the cumulative probabilities of at most k and at least k successes. It reports the distribution’s mean (n·p), variance (n·p·(1 − p)) and standard deviation, and shows the full probability distribution as a table and a chart. The term C(n, k) is the number of ways to choose which k of the n trials succeed, pᵏ is the chance those k succeed and (1 − p)ⁿ⁻ᵏ the chance the rest fail. The expected number of heads is C(10, 3) × 0.5³ × 0.5⁷ ≈ 11.7%. The full probability distribution is shown as a chart.Worked example:The term C(n, k)Worked example:The term C(n, k)Worked example:The term C(n, k)Worked example:The term C(n, k)Worked example:The term C(n, k)Worked example:The term C(n, k)Worked example:The term C(n, k)Worked example:The term C(n, k)Worked example:The term C(n, k)Worked example:The term C(n, k)Worked example:The term C(n, k)Worked example:The term C(n, k)Worked example:The term C(n, k)Worked example:The term C(n, k)Worked example:The term C(n, k)Worked example:The term C(n, k)Worked example:The term C(n, k)Worked example:The term C(n, k)Worked example:The term C(n, k)Worked example:The term C(n, k)Worked example:The term C(n, k)Worked example:The term C(n, k)Worked example:The term C(n, k)Worked example:The term C(n, k)Worked example:The term C(n, k)Worked example:The