In a game people throw a ball into a bucket. For each person, the random variable X X\,X represents the number of times the ball lands in the bucket in the first 5 throws. Helen models X X\,X as B(5,0.3)B(5, 0.3)B(5,0.3)
State an assumption Helen makes to use her model.
Using Helen's model, given that P(X=k)=0.3087P(X = k) = 0.3087P(X=k)=0.3087, find the value of kkk.
For each person the random variable Y Y\,Y represents the throw on which the first ball lands in the bucket. Using Helen's model, given that P(Y=n)=0.07203P(Y = n) = 0.07203P(Y=n)=0.07203, find the value of nnn.
215 exam-style questions on Edexcel A Level Maths Statistical Distributions, covering 6.1 Probability Distributions, 6.2 The Binomial Distribution, and 6.3 Cumulative Probabilities. Each one has a worked solution and a mark scheme showing where the marks go.