Probability and Continuous Variables

Question 1

Continuous random variables

Answer 1

For infinite precision, probability is zero, so we must consider probability within a given interval
Clock example

Question 2

Probability density function

Answer 2

The probability density function describes the shape of the probability distribution

Question 3

Cumulative probability distribution

Answer 3

We find the area under the probability density function up to value x for a continuos random variable
Like cumulative probability

Question 4

Expected value

Answer 4

For a discrete random variable we had the other equation, now we find the area under the curve for a continuous random variable