Chapter 4: Discrete Random Variables

Question 1

Random Variable

Answer 1

A RV assigns a numerical value to any outcome in a random experiment.

Question 2

Discrete Rv

Answer 2

A RV that has either a finite or countable number of values

Question 3

Continuous RV

Answer 3

A RV that has a whole interval of possible values

Question 4

Cumulative Distribution Function (CDF)

Answer 4

the probability that x is less than or equal to a particular value of y

Question 5

Probability Distribution of a Discrete RV x

Answer 5

The list of each possible value of x, and the probabilities that x takes those values in a trial of a random experiment.

Question 6

The probabilities in a probability dist. of a RV X must satisfy:

Answer 6

1. P(x) between 0 and 1

2. Sum of P(x) = 1

Question 7

Mean of a discrete RV

Answer 7

average across many repeated trials of a random experiment

Question 8

Question 25!!!!

Question 9

Bernoulli Process with parameters n and p…

Answer 9

consists of a sequence of n identical trials of a random experiment such that each trial :
1. Produces one of two possible outcomes (success with probability (P) and failure with probability (q=1-p)

2. Stands independent of any other trial

Question 10

Binomial RV with parameters n and p:

Answer 10

A discrete RV that counts the number of successes of a Bernoulli Process with parameters n and p