Discrete Random Variables (Further)

Question 1

DRV mean (x̲) (for experimental data)

Answer 1

∑ fx / ∑ f

∑ x f(rel)

Question 2

DRV Relative Frequency

Answer 2

no. of events / no. of trials

Question 3

DRV Variance (for experimental data)

Answer 3

σ^2 = ( ∑ f x^2 / ∑ f ) - x̲^2

Question 4

DRV Standard Deviation

Answer 4

The root of the Varience

Question 5

DRV E(X)

Answer 5

E(X) = ∑ px

Question 6

DRV Var(X)

Answer 6

Var(X) = E(X^2) - E(X)^2

Question 7

DRV E(X ± Y)

Answer 7

E(X ± Y) = E(X) ± E(Y)

Question 8

DRV Var(X ± Y)

Answer 8

Var(X ± Y) = Var(X) + Var(Y)

Question 9

DRV E(aX + b)

Answer 9

E(aX + b) = a E(X) + b

Question 10

DRV Var(aX + b)

Answer 10

Var(aX + b) = a^2 Var(X)

Question 11

DRV ∑ p

Answer 11

∑ p = 1

Question 12

DRV E(g(x))

Answer 12

E(g(x)) = ∑ g(x) p