Discrete Random Variables

Timothy Gan

This is Tim. Tim loves to teach math. Tim seeks to improve his teaching incessantly! Help Tim by telling him how he can do better.

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2022 DHS P2 Q11

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

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2017 AJC P2 Q8

2017 AJC P2 Q8 A biscuit manufacturer produces both cream and chocolate biscuits. Biscuits are chosen randomly and packed into boxes of $10$. The number of cream biscuits in a

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2022 RVHS J2 CT P1 Q11

2022 RVHS J2 CT P1 Q11 To aid in contact tracing during the Covid-19 pandemic, the government of a country introduces the use of TraceWith App and Token for its

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2022 ACJC J2 MYE P1 Q10

2022 ACJC J2 MYE P1 Q10 A factory produces electrical fuses by an automatic process. The fuses are packed in boxes, each box containing $24$ fuses, for dispatch to customers.

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2022 EJC J2 MYE P2 Q6

2022 EJC J2 MYE P2 Q6 The diagram above shows a spinner with $3$ equal sections, labelled “$1$”, “$2$” and “$3$”, and an arrow which has an equal chance of

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2022 ASRJC J2 MYCT P2 Q4

2022 ASRJC J2 MYCT P2 Q4 Two six-sided fair dice are tossed. The difference between the number of dots that appear on the top faces of the two dice is

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2022 ACJC J2 MYE P1 Q11

2022 ACJC J2 MYE P1 Q11 A fair six-sided die and another fair tetrahedral (4 sided) die are thrown together once. $S$ is the absolute difference of the scores of

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2023 SAJC Tutorial 20 Q1

Home 2023 SAJC Tutorial 20 Q1 Three cards are to be drawn at random without replacement from a pack of six cards numbered $0$, $0$, $1$, $1$, $1$, $1$. The

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2018 ASRJC P2 Q6

Home 2018 ASRJC P2 Q6 A jackfruit farm produces $2$ types of jackfruit pulps namely Grade $text{A}$ and Grade $text{B}$. The pulps are randomly packed into boxes of $8$. The

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2017 TPJC P2 Q6

Home 2017 TPJC P2 Q6 A geologist splits rocks to look for fossils. On average $7%$ of the rocks selected from a particular area contain fossils. The geologist selects a

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