Mathematics 9709 · AS & A Level · Discrete random variables

Discrete random variables — practice question

Kai owns a spinner with four sides, marked 1, 2, 3, 4. Each time it is spun, the score equals the number on the face where it stops. The random variable $X$ represents this score. The probability distribution table for $X$ appears below.
(a)[4]

Calculate the value of $\mathrm{Var}(X)$.

(b)[3]

Kai spins his spinner 10 times. Calculate the probability that a score of 2 is obtained fewer than 8 times.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: $4p+0.4=1 \Rightarrow p=0.15=\frac{3}{20}$

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