Stats May Exam 0.0 / 5 ? StatisticsshushA2/A-levelEdexcel Created by: chalky-nerdCreated on: 09-04-21 17:33 What is a binomial distribution? X ~ B(n,p) n = number of trials p = probability of success 1 of 10 What are the conditions for a binomial distribution? Fixed number of trials, n Two possible outcomes Fixed probability of success, p Trials are independent of each other 2 of 10 A ∩ B Intersection of A and B 3 of 10 When are A and B are independent? P(A ∩ B) = P(A) x P(B) 4 of 10 A ∪ B All of A and B, union of A and B 5 of 10 A′ Not A 6 of 10 P(A|B) Probability of A given B has already occurred 7 of 10 When A and B are independent, P(A|B) = P(A|B′) = P(A) P(B|A) = P(B|A′) = P(B) 8 of 10 P(A' ∩ B') = = 1 - P(A ∪ B) 9 of 10 When can the binomial distribution X ~ B(n,p) be approximatied by normal distribution X ~ N(μ,σ^2)? When n is large When p is close to 0.5 μ = np σ = √(np(1-p)) 10 of 10
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