Chapter 6

Question 1

A listing of all the outcomes of an experiment and the probability associated with each outcome

Answer 1

Probability distribution

Question 2

What are the three characteristics of a probability outcome

Answer 2

1. The probability of a particular outcome is between 0 and 1
2. The outcomes are mutually exclusive
3. The list of outcomes is exhaustive. Their sum = 1

Question 3

A variable measured or observed as the result of an experiment. By chance, the variable can have different values.

Answer 3

Random variable

Question 4

A random variable that can assume only certain clearly separated values

Answer 4

Discrete random variable

Question 5

What 4 requirements make a binomial probability experiment

Answer 5

1. An outcome on each trial of an experiment is success or failure
2. Random variable is the number of success
3. The probability of success is the same for each trial
4. The trials are independent

Question 6

What is the formula for the mean of binomial distribution

Answer 6

µ=nΠ

Question 7

Two requirments for the hypergeometric distribution

Answer 7

1. Sample is selected from a finite population without replacement
2. if the size of the sample n is more than 5% of the size of the population N

Question 8

Characteristics of a Hypergeometric probability experiment

Answer 8

1. An outcome on each trial of an experiment is success or failure
2. Random variable is number of successes
3. Trials are not independent
4. Population is finite without replacement

Question 9

For a binomial distribution, state the meaning of the letters in the formula

Answer 9

C=combination formula
n is the number of trials
x is the random variable
π = probability

Question 10

For a hypergeometric distribution, state the meaning of the letters in the formula

Answer 10

N is the size of the population
S is the number of successes is the population
x is the number of successes in the sample (0,1,2,3,4…)
n is the size of the sample or the number of trials
C is the symbol for combination

Question 11

Describes the number of times some event occurs during a specified interval

Answer 11

Poison Probability

Question 12

Characteristics of a poison probability experiment

Answer 12

1. Random variable is the number of times some event occurs during a defined interval
2. Probability of the event is proportional to the size of the interval
3. The intervals do not overlap and are independent

Question 13

With a Poisson distribution, what is the relationship between the mean and variance

Answer 13

They are equal