In a basketball practice session, a player takes 6 free throws. For each player, the random variable X X\,X represents the number of free throws scored. Alex models X X\,X as B(6,0.4)B(6, 0.4)B(6,0.4). For each player, the random variable Y Y\,Y represents the throw on which the first free throw is scored.
State an assumption Alex makes to use this model.
Using Alex's model, find P(X=2)P(X = 2)P(X=2)
Using Alex's model, find P(Y=6)P(Y = 6)P(Y=6)
57 exam-style questions on Edexcel AS 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.