Lecture 2

Question 1

Experiment definition

Answer 1

The outcome is Unknown but all the possible outcomes are Known

Question 2

Sample Space

Answer 2

List of all possible outcomes

Question 3

Event E

Answer 3

a SET of possible outcomes (A subset of the Sample Space)

Question 4

What information on the random variable X is conveyed by its cumulative Distribution function Fx(X)?

Answer 4

Fx(X) gives the probability of the event for any numerical value x

Question 5

What is the hazard Function?

Answer 5

T = time to failure of a component

CDF: F_T(t) = probability of a failure before time t P(T < t)

PDF: f_T(t) = Probability density function at time t

CCDF = 1 - F_T(t) –> reliability at time t

h_T(t) = hazard function or failure rate at time t