Discrete Random Variables

Timothy Gan

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CJC Tutorial Q8

CJC Tutorial Q8 A bag contains $4$ red, $5$ blue and $6$ green balls. The balls are indistinguishable except for their colour. A trial consists of drawing a ball at

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2022 HCI P2 Q9

2022 HCI P2 Q9 Abel has $1$ white bag of marbles and $1$ black bag of cards and he uses them to create a game. The white bag contains $2$

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2022 TMJC P2 Q6

Home 2022 TMJC P2 Q6 The probability function of a discrete random variable, $X$, is given as follows: $Pleft( X=x right)=left{ begin{matrix}ptext{ }text{if},x=0,,,,,,,,, \frac{1}{3}text{P}left( X=x-1 right)text{ }text{if},x=2,4,6 \qtext{ }text{if},x=1,3,5,, \end{matrix}

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2022 ASRJC P2 Q10

2022 ASRJC P2 Q10 A bag contains nine numbered discs. Three discs are numbered $3$, four discs are numbered $4$ and two discs are numbered $-1$. Two discs are drawn

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2022 VJC P2 Q7

Home 2022 VJC P2 Q7 An unbiased yellow cubical die has two faces labelled $10$, two faces labelled $30$ and two faces labelled $50$. An unbiased green cubical die has

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2005 TJC P2

Home 2005 TJC P2 Urn $1$ contains $5$ black balls and $3$ red balls. Urn $2$ contains $4$ black balls and $4$ red balls. An experiment is conducted in the

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ACJC DRV Tutorial Q4

ACJC DRV Tutorial Q4 The probability distribution of a discrete random variable $X$ is as follows: Find $text{Var}left( X right)$.The random variable $Y$ is defined by $Y={{X}_{1}}-{{X}_{2}}$, where ${{X}_{1}}$, ${{X}_{2}}$

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2013 RI P2 Q11

2013 RI P2 Q11 Records had shown that $18%$ of the eggs from a particular farm were classified as “small” while $8%$ of the eggs from the farm were classified

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2020 DHS P2 Q8

2020 DHS P2 Q8 An air force consists of a large number of fighter planes. Each plane carries and releases $8$ bombs at one time to destroy a designated enemy

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2018 SRJC P2 Q12

2018 SRJC P2 Q12 Based on past statistical data of high speed train journey, there is a $8%$ chance that a passenger with reservation made will not show up. In

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