IAL Edexcel S2 Continuous Uniform Distribution

IAL Edexcel S2 Continuous Uniform Distribution

Understand, use and model using the Continuous Uniform Distribution

Multiple Choice

What is the area?

• 16 yd²
• 22 yd²
• 49 yd²
• 28 yd²

Multiple Choice

Find the area of the rectangle.

• 36 in.²
• 72 in.²
• 26 in.²
• 13 in.²

Multiple Choice

Find the area of the rectangle.

• 140 cm²
• 70 cm²
• 34 cm²
• 64 cm²

Multiple Choice

P(A∣B)=

• P(A⋂B)/P(A)

• P(A⋂B)/P(B)

• P(A⋃B)/P(A)

• P(A⋃B)/P(B)

Multiple Choice

P(Sandals|Pants):

• 4/20
• 6/15
• 1/2
• 2/7

Multiple Choice

Given the following VENN Diagram answer the following

P( B | A )

• 0.4

• 0.25

• 0.5

• 0.67

Multiple Choice

Given the following VENN Diagram answer the following.

P( A | B )

• 2

• 0.4

• 0.67

• 0.8

Fill in the Blank

What should the area under a pdf equal?

Fill in the Blank

If the width of a rectangle was 3

What height would give it an area of 1?

Fill in the Blank

If the width of a rectangle was 5

What height would give it an area of 1?

Fill in the Blank

If the width of a rectangle was 3/2

What height would give it an area of 1?

Fill in the Blank

If the width of a rectangle was 8/7

What height would give it an area of 1?

Multiple Choice

X~U[3,5]

Write down the distribution of Y=5X-4

• Y~U[3,5]

• Y~U[5,4]

• Y~U[21,11]

• X~U[11,21]

Multiple Choice

X~U[3,5]

Find P(3.2<X<4.3)

• 0.35

• 0.45

• 0.55

• 0.65

Fill in the Blank

What is the value of k?

Fill in the Blank

$$X\sim U\left[-4,6\right]$$  
$$X\sim U\left[-4,6\right]$$  

Fill in the Blank

$$X\sim U\left[-4,6\right]$$  
$$X\sim U\left[-4,6\right]$$  

Fill in the Blank

X~U[4, 10]

E(X)=

Fill in the Blank

X~U[4, 10]

Var(X)=

Fill in the Blank

X~U[-2, 2]

E(X)=

Fill in the Blank

X~U[-2, 2]

Var(X)=

(as a top heavy fraction)

Fill in the Blank

X~U[0, 1]

E(X)=

Fill in the Blank

X~U[0, 1]

Var(X)=

(as a fraction)

Fill in the Blank

X~U[1, 13]

E(X²)=

Fill in the Blank

X~U[4,7]

Find E(X)

Fill in the Blank

X~U[4,7]

Find Var(X)

Fill in the Blank

Y~U[a,b].

Given that E(Y)=1 and Var(Y)=16/3

What is a?

Multiple Choice

A shuttle train at a busy airport completes a circuit between two terminals every five minutes (uniformly distributed). What is the probability than a passenger will wait more than three minutes for a shuttle train?

• 2/5

• 1/3

• 6/7

• 1/2

Multiple Choice

The waiting time for the train that leaves every 30 minutes is uniformly distributed from 0 to 30 minutes.

Find the probability that a person arriving at a random time will wait between 10 and 15 minutes.

• 4/8

• 2/3

• 1/6

• 1/3

Dr Frost

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