Transcription of S1 Discrete random variables - Physics & Maths Tutor
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S1 Discrete random variables - Physics & Maths Tutor
S1 Discrete random variables 1. The Discrete random variable x has probability distribution given by x 1 0 1 2 3 P(X = x) 51 a 101 a 51 where a is a constant. (a) Find the value of a. (2) (b) Write down E(X). (1) (c) Find Var(X). (3) The random variable Y = 6 2X (d) Find Var(Y). (2) (e) Calculate P(X Y). (3) (Total 11 marks) 2. The probability function of a Discrete random variable x is given by p(x) = kx2 x = 1, 2, 3 where k is a positive constant. (a) Show that 141=k (2) Edexcel Internal Review 1 S1 Discrete random variables Find (b) P(X 2) (2) (c) E(X) (2) (d) Var(1 X) (4) (Total 10 marks) 3.
S1 Discrete random variables . PhysicsAndMathsTutor.com (e) Var(X) (3) (Total 10 marks) 14. A fairground game involves trying to hit a moving target with a gunshot.
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