Continuous Uniform Distribution

Question 1

How do you find the probability density function/ ‘f(x)’ for Continuous Uniform Distribution?

Answer 1

1 / (b-a)

Question 2

How do you find the cumulative density function / ‘F(x)’ for Continuous Uniform Distribution?

Answer 2

1. Integrate like you would for chapter 3

2. x-a / b-a

Question 3

How do you find E(X) for continuous uniform distribution?

Answer 3

1
—- (a + b)
2

Question 4

How do you find Var(X) for continuous uniform distribution?

Answer 4

1
—- (b - a) ^2
12

Question 5

How do you find P(X

Answer 5

(X-the limit) * pdf

Aka find the area of the rectangle

Question 6

Who do you find P(X=x) for a continuous uniform distribution?

Answer 6

It’s 0

It’ll always be zero for continuous

Question 7

How do you work out P(A

Answer 7

(B-A) multiplied by pdf

Question 8

How do you work out the UQ and LQ for continuous uniform distribution?

Answer 8

Find a quarter of the range of limits:

LQ- Go a quarter away from the lower limit, and multiply by the PDF

UQ- Go a quarter from the upper limit, and multiply by the PDF

IQR- UQ-LQ

Question 9

What is meant by defining the pdf? (UUUI)

Answer 9

Integrate

Question 10

What is the Proof for E(X) and Var (X) for continuous uniform distribution?

Answer 10

http://www.math.uwaterloo.ca/~dlmcleis/s230/graphics/noteschap9__165.png