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1 Bernoulli trial and binomial distribution Bernoulli trialBinomial distribution x (# H) 01 P(x)P(x)P(x)P(x)(1 – p)p ?

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Presentation on theme: "1 Bernoulli trial and binomial distribution Bernoulli trialBinomial distribution x (# H) 01 P(x)P(x)P(x)P(x)(1 – p)p ?"— Presentation transcript:

1 1 Bernoulli trial and binomial distribution Bernoulli trialBinomial distribution x (# H) 01 P(x)P(x)P(x)P(x)(1 – p)p ?

2 ? 2 x (# heads) Frequency P 40 60 01 Bernoulli trial x (# H) 01 P(x)P(x)P(x)P(x)(1 – p)p

3 ? 3 x (# heads) Frequency P 40 60 01 Bernoulli trial x (# H) 01 P(x)P(x)P(x)P(x)(1 – p)p Average number of heads

4 ? 4 x (# heads) Frequency P 40 60 01 Bernoulli trial x (# H) 01 P(x)P(x)P(x)P(x)(1 – p)p Average number of heads Variance of number of heads

5 5 Bernoulli trial and binomial distribution Bernoulli trialBinomial distribution x (# H) 01 P(x)P(x)P(x)P(x)(1 – p)p ?

6 ? 6 Binomial distribution ? ? Say,

7 ? 7 Binomial distribution ? ? Say, Letfloat

8 ? 8 Binomial distribution ? ? Total heads across N coin flips Probability of particular sequence

9 ? 9 Binomial distribution ? ? Total heads across N coin flips Probability of particular sequence Ways to get same # x of total heads x = 2 heads N = 3 flips 3 ways

10 ? 10 Binomial distribution ? ? Total heads across N coin flips Average total number of heads

11 ? 11 Binomial distribution ? ? Total heads across N coin flips Average total number of heads Variance of total number of heads

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