Chapter 6

Question 1

random variable

Answer 1

takes numerical values that describes the outcomes of a random process

Question 2

probability distribution

Answer 2

gives a random variable its possible values and probabilities

Question 3

mean (expected value) of a discrete random variable

Answer 3

the average value over many many trials of the same random process

Question 4

standard deviation of a discrete random variable

Answer 4

measures how much the values of the variable typically vary from the mean in many many trials if the random process

Question 5

continuous random variable

Answer 5

any value in an interval on a number line

Question 6

independent random variables

Answer 6

two random variables are independent if knowing the value of one does not change the probability distribution of the other variable

Question 7

binomial random variable

Answer 7

count of successes x in a binomial setting

Question 8

binomial distribution

Answer 8

probability distribution of X; specified by number of trials of the random process (n) and the probability if success on each trial (p)

Question 9

10% Condition

Answer 9

we can treat individual samples as independent so long as the sample is less than 10% of the population
n<0.10N

Question 10

Large Counts Condition

Answer 10

the probability distribution of X is approximately Normal if it meets LCC
np > 10 n(1-p) > 10

Question 11

geometric random variable

Answer 11

number of trials until first success

Question 12

geometric distribution

Answer 12

probability distribution of X with probability p of success on any trial

Question 13

geometric mean

Answer 13

1/probability