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)

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2
Q

what properties does the PDF have to satisfy

A

f(x) ≥0

integral of f(x) = 1

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3
Q

Probability is…

A

area under the curve

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4
Q

How to find mean (expected value) of a PDF

A

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

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5
Q

How to find variance of a PDF

A

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

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