Discrete Random Variables

2022 NYJC P2 Q9 A bag contains three yellow marbles, one blue marble and $x$ red marbles, where $x>1$. In a game, Lily takes $~2$ marbles at random from the

2022 CJC P2 Q7 The probability distribution for the random variable $X$ is shown in the table. Another random variable $Y$ is defined by $Y=2{{X}_{1}}+{{X}_{2}}$, where ${{X}_{1}}$ and ${{X}_{2}}$ are

ACJC Discrete Random Variables Tutorial Q1 A biased six-sided die is such that $text{P}left( X=1 right)=p$ and $text{P}left( X=r+1 right)=frac{1}{2}text{P}left( X=r right)$, $r=1$, $2$, $3$, $4$, $5$ where $X$ denotes

2017 IJC BT2 Q7 The discrete random variable $X$ has probability function $text{P}left( X=x right)=left{ begin{matrix}kleft( frac{5}{2}-x right),,,,x=0,2, \kleft( x-2 right),,,,,,,,,,,x=3, \0,text{otherwise,} \end{matrix} right.$ where $k$ is a positive constant.

2022 EJC P2 Q7 In a carnival lucky dip game, a game master places n consolation tickets, $m$ blank tickets, and one golden ticket into a box. A contestant taking

2022 MI P2 Q7 A bag contains three red balls, $n-1$ blue balls and $n$ white ball, where $nge 3$. The balls are identical except for their colour. Two balls