Lecture 4

Question 1

Continuous variable - definition

Answer 1

A continuous random variable can assume any value in a particular interval in the real line or in a collection of intervals

Question 2

Continuous variable - Characteristics

Answer 2

• it is not possible to talk about the probability that a continuous random variable assumes a single specified value
• rather can we calculate probabilities of the random variables assuming a value with i specified interval

Question 3

Continuous random variables, not P(X=x), what?

Answer 3

Probability density function f(x)

Question 4

The normal distribution

Answer 4

The normal distribution is a descriptive model that describes real world situation.
It is defined as a continuous frequency distribution of infinite range (can take any values).
It is probably the most important probability distribution in statistics and serves as an very important tool in statistical analysis.

Question 5

what is the normal distribution also called?

Answer 5

Gaussian distribution

Question 6

Normal distribution properties

Answer 6

• bell-shaped
• symmetrical around the mean
• mean and media are equal
• total area under curve is 1 (100%)

Question 7

standard normal distribution look in book

Question 8

standardization theorem look in book