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IAL Edexcel S2 Continuous Random Variables

IAL Edexcel S2 Continuous Random Variables

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Mathematics

•

8th Grade

•

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Fiona Davidson

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14 Slides • 17 Questions

1

IAL Edexcel S2 Continuous Random Variables

-Understand the use of a Probability Density Function

-Understand use of a Cumulative Distribution Function

-Find Mean, Median, Mode, Quartiles and Percentiles of CRV

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2

Multiple Choice

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Identify whether the experiment involves a discrete or a continuous random variable.


Measuring the length of time it takes before a dolphin surfaces in the ocean to breath

1

Discrete Random Variable

2

Continuous Random Variable

3

Multiple Choice

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Identify whether the experiment involves a discrete or a continuous random variable.


Measuring the distance travelled by different cars using 1-liter of gasoline

1

Discrete Random Variable

2

Continuous Random Variable

4

Multiple Choice

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Identify whether the experiment involves a discrete or a continuous random variable.


Recording number of medals that the Philippine team won in each of the past 20 Olympic games

1

Discrete Random Variable

2

Continuous Random Variable

5

Multiple Choice

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Identify whether the experiment involves a discrete or a continuous random variable.


tossing a pair of fair coins

1

Discrete Random Variable

2

Continuous Random Variable

6

Multiple Choice

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Identify whether the experiment involves a discrete or a continuous random variable.


Collecting data about the mileage per liter of a certain brand and model of a car

1

Discrete Random Variable

2

Continuous Random Variable

7

Multiple Choice

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Identify whether the experiment involves a discrete or a continuous random variable.


Rotating a spinner that has 4 equally divided parts: blue, green, yellow, and red

1

Discrete Random Variable

2

Continuous Random Variable

8

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9

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10

Fill in the Blanks

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What is the Probability x=3

in terms of k

Type answer...

11

Fill in the Blanks

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What is the Probability x=5

in terms of k

Type answer...

12

Fill in the Blanks

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What is the Probability x=7

in terms of k

Type answer...

13

Fill in the Blanks

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What is the value of k?

as a fraction

Type answer...

14

Multiple Choice

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What is  P(x≥5)P\left(x\ge5\right)   

1

 35\frac{3}{5}  

2

 45\frac{4}{5}  

3

 49\frac{4}{9}  

4

 79\frac{7}{9}  

15

Multiple Choice

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Integrate  x3−3x2+2xx^3-3x^2+2x  

1

 3x2−6x3x^2-6x  

2

 x44−x3+x2\frac{x^4}{4}-x^3+x^2  + c

16

Multiple Choice

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Find the area under the curve  y=x3−3x2+2xy=x^3-3x^2+2x  

between x=0 and x=1 

1

4

2

- 12\frac{1}{2}  

3

 14\frac{1}{4}  

17

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22

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23

Multiple Choice

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Find P(1.5<x<2)P\left(1.5<x<2\right)  to 3dp


1

0.584

2

0.583

3

0.582

4

0.585

24

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25

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26

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27

Fill in the Blanks

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What is the value of k?

(as a fraction)

Type answer...

28

Fill in the Blanks

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What is P(0.3<x≤0.6)P\left(0.3<x\le0.6\right)  (to 3dp)

Type answer...

29

Fill in the Blanks

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What is P(∣x∣<0.2)P\left(\left|x\right|<0.2\right)  (to 3dp)



Type answer...

30

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31

IAL Textbook

Exercise 4A page 63

Try your best working through Exercise 4A

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pattern-tertiary

IAL Edexcel S2 Continuous Random Variables

-Understand the use of a Probability Density Function

-Understand use of a Cumulative Distribution Function

-Find Mean, Median, Mode, Quartiles and Percentiles of CRV

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