S2- Continuous Random Variables Flashcards
1
Q
What is the mode of a continuous random variable?
A
Value of X with the greatest frequency, which can be found out from a sketch of the function
2
Q
How can the median be worked out?
A
F(m)=0.5
3
Q
How can the quartiles be obtained?
A
F(Q1)=0.25
F(Q3)=0.75
4
Q
How is the probability density function defined?
A
x^n + x^m + etc a≤x≤b
f(x)= 0 otherwise
5
Q
E(x)=
A
∫x(f(x))
6
Q
E(x^2)=
A
∫x^2 (f(x))
7
Q
Var(x)=
A
E(x^2) - (E(x))^2
8
Q
Relationship between f(x) and F(x)?
A
F(x) is the integral of f(x)
9
Q
What is the cumulative distribution function?
A
F(X) –> P(X≤x)
