Continuous Random Variables Flashcards
1
Q
What is the CDF for the continuous random variable X
A
F(x) = P(a ≤ X ≤ x)
= the integral from a to x of f(x)
2
Q
what properties does the PDF have to satisfy
A
f(x) ≥0
integral of f(x) = 1
3
Q
Probability is…
A
area under the curve
4
Q
How to find mean (expected value) of a PDF
A
= integral from a to b of xf(x) dx
5
Q
How to find variance of a PDF
A
= integral from a to b of x^2f(x) - mean^2
