Mathematics (AS & A Level) · Oct / Nov 2021 · Paper 53 · Question 6

In a game, Jim throws three darts at a board. This is called a ‘turn’. The centre of the board is called the bull’s-eye. The random variable X is the number of darts in a turn that hit the bull’s-eye. The probability distribution of X is given in the following table. x 0 1 2 3 PX = x 0.6 p q 0.05 It is given that EX = 0.55.

Read automatically from the paper; the printed page above is exact.