2012 MJC P2 Q12
Timothy Gan
18th September 2023
2012 MJC P2 Q12 (a) The random variable $X$ is the number of successes in $n$ independent trials of an experiment in which the probability of a success at a
2022 NJC P2 Q5
Timothy Gan
14th September 2023
2022 NJC P2 Q5 The random variable $W$ has the distribution $text{B}left( n,p right)$ and a mode $m$. By considering the inequality $text{P}left( W=m right)ge text{P}left( W=m+1 right)$, show that
2022 CJC P2 Q10
Timothy Gan
14th September 2023
2022 CJC P2 Q10 The random variable $X$ has distribution $text{B}left( n,p right)$. It is given that the mean of $X$ is $4.5$ and the variance of $X$ is $3.15$.
2022 EJC P2 Q7
Timothy Gan
14th September 2023
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
Timothy Gan
14th September 2023
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
2022 HCI P2 Q11
Timothy Gan
13th September 2023
2022 HCI P2 Q11 A cafeteria installed a vending machine which dispenses two types of coffee into disposable cups as follows: (I) Black coffee, $X$ ml, normally distributed with mean
2020 HCI P2 Q8
Timothy Gan
13th September 2023
2020 HCI P2 Q8 A set of $9$ cards are numbered $1$, $1$, $2$,$3$, $3$, $4$, $5$, $5$ and $6$. A round of matching game is played where two cards
2020 HCI P2 Q7
Timothy Gan
13th September 2023
2020 HCI P2 Q7 A team of $15$ students was selected for an outdoor education trip. One student volunteered to be the trip leader while another volunteered as the assistant
2022 DHS P2 Q11
Timothy Gan
12th September 2023
2022 DHS P2 Q11 Emma has a computer program that generates a random positive integer $X$. The probability distribution of $X$ is: $text{P}left( X=r right)=frac{a}{{{r}^{3}}}$, $rin {{mathbb{Z}}^{+}}$ and $a$ is
2017 IJC P2 Q6
Timothy Gan
11th September 2023
2017 IJC P2 Q6 Seven red counters and two blue counters are placed in a bag. All the counters are indistinguishable except for their colours. Clark and Kara take turns