Continuous Random Variables

Question 1

What is the CDF for the continuous random variable X

Answer 1

F(x) = P(a ≤ X ≤ x)

= the integral from a to x of f(x)

Question 2

what properties does the PDF have to satisfy

Answer 2

f(x) ≥0

integral of f(x) = 1

Question 3

Probability is…

Answer 3

area under the curve

Question 4

How to find mean (expected value) of a PDF

Answer 4

= integral from a to b of xf(x) dx

Question 5

How to find variance of a PDF

Answer 5

= integral from a to b of x^2f(x) - mean^2