ASRJC Binomial Distribution Tutorial Q12 A biscuit factory produces biscuits which are packed into its signature gift boxes. On average, $3%$ of these gift boxes packed are substandard. (i) Show
2018 PJC BT2 P2 Q8 Tomatoes are sold in boxes of $16$. On average, $15%$ of them are damaged. (i) State, in context, two assumptions needed for the number of
2017 ACJC P2 Q6 Alex and his friend stand randomly in a queue with $3$ other people. The random variable $X$ is the number of people standing between Alex and
2020 YIJC P2 Q8 A manufacturing company produces surgical masks. The surgical masks are randomly packed into boxes of $50$. On average, $15%$ of the surgical masks are defective. The
2017 HCI P2 Q6 A biased tetrahedral ($4$-sided) die has its faces numbered ‘$-1$’, ‘$0$’, ‘$2$’ and ‘$3$’. It is thrown onto a table and the random variable $X$ denotes
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 ACJC P2 Q11 (a) (i) It is known that the probability of a customer using e-payment at a hawker stall is $0.25$. A group of customers is chosen at