At a darts club, each player throws 4 darts at a target. For each player, the random variable X X\,X represents the number of darts that hit the target. Priya models X X\,X as B(4,0.25)B(4, 0.25)B(4,0.25). For each player, the random variable Y Y\,Y represents the throw on which the first dart hits the target.
State an assumption Priya makes to use this model.
Using Priya's model, find P(X=1)P(X = 1)P(X=1)
Using Priya's model, find P(Y=4)P(Y = 4)P(Y=4)
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.