chapter 3

Question 1

3.1 Random Variables

Define:

Random variable

Answer 1

For a given sample space S of some experiment, a random variable (rv) is any rule that associates a number with each outcome in . In mathematical language, a random variable is a function whose domain is the sample space and whose range is the set of real numbers.

Question 2

3.1 Random Variables

Define:
Bernoulli random variable

Answer 2

Any random variable whose only possible values are 0 and 1 is called a Bernoulli random variable.

Question 4

3.1 Random Variables
^{Two types of Rando variables}

Define:
Discrete random variable

and
What does it take for a random variable to be continuous?

Answer 4

Question 5

3.1 Random Variables
^{Two types of Rando variables}
______ of values have positive probability; the probability of an _______ will decrease to zero as the width of the ______ shrinks to zero.

Answer 5

Intervals of values have positive probability; the probability of an interval will decrease to zero as the width of the interval shrinks to zero.

Question 6

3.2 Probability Distributions for Discrete Random Variables