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, find P(X=2)P(X = 2)P(X=2)
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, find P(Y=5)P(Y = 5)P(Y=5)
390 exam-style questions on AQA A Level Maths 2.4 N: Statistical distributions, covering 2.4.1 Discrete distributions and the binomial, 2.4.2 The Normal distribution (A-level only), and 2.4.3 Selecting an appropriate distribution (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.