Chapter 5: Continuous RV's

Question 1

How do continuous RV’s differ from discrete RV’s?

Answer 1

if the set of possible numbers is a whole interval of decimal numbers
eg: length of time waiting for a bus:
all decimals between 0 and 30 for example

Question 2

Probability distribution of a continuous RV X

Answer 2

the assignments of probabilities to intervals of decimal numbers using a function f(x) (density function) in the following way:
the probability that x assumes a value in the interval [a, b] is the area under the graph f(x)

Question 3

Density function conditions:

Answer 3

1. For all numbers x, f(x)>0 (the graph never drops below the x-axis
2. Area under the graph = 1
3. Interval end points do not matter

Question 4

Normally distributed RV/ Normal RV

Answer 4

a continuous RV whose probabilities are described by the normal distribution with mean miu and st deviation sigma.