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10 cards from this deck
Running total of probability, or P(X≤n)P(X \leq n)P(X≤n).
Binomial distribution with n=20n=20n=20, p=0.3p=0.3p=0.3.
Use Binomial CD: Enter X=10X=10X=10, N=20N=20N=20, p=0.3p=0.3p=0.3.
P(X≤10)=0.9829P(X \leq 10) = 0.9829P(X≤10)=0.9829.
P(X>6)=1−P(X≤6)P(X > 6) = 1 - P(X \leq 6)P(X>6)=1−P(X≤6).
P(X>6)P(X > 6)P(X>6) can be calculated using cumulative distribution.
Use Binomial PD: X=5X=5X=5, N=20N=20N=20, p=0.35p=0.35p=0.35.
Use P(X=k)=(nk)⋅pk⋅(1−p)(n−k)P(X = k) = \binom{n}{k} \cdot p^k \cdot (1-p)^{(n-k)}P(X=k)=(kn)⋅pk⋅(1−p)(n−k).
P(2≤X≤7)=P(X≤7)−P(X≤1)P(2 ≤ X ≤ 7) = P(X ≤ 7) - P(X ≤ 1)P(2≤X≤7)=P(X≤7)−P(X≤1).
P(2≤X≤7)=0.5989P(2 ≤ X ≤ 7) = 0.5989P(2≤X≤7)=0.5989.
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