Module 9

Question 1

 single most important distribution in probability and statistics for independent
and random variables
 unique mathematical properties which facilitate its application to practically any physical problem in the real world

Answer 1

Normal distribution

Question 2

What is another name for Normal Distribution

Answer 2

Gaussian Probability Distribution

Question 3

The graph of the normal distribution is called

Answer 3

normal curve

Question 4

 Gives only two possible outcomes: Success or Failure
 There are two parameters (n and p) used

Answer 4

Binomial Distribution

Question 5

states the number of times the experiment runs

Answer 5

Variable n

Question 6

tells the probability of any one outcome

Answer 6

Variable p

Question 7

The random variable of interest X, the number of successes observed in n trials, is called

Answer 7

binomial random variable

Question 8

 discrete probability distribution that shows how many times an event is likely to occur over a specified period
 often used to understand independent events that occur at a constant rate within a given interval of time

Answer 8

Poisson Distribution

Question 9

The random variable of interest X, the number of outcomes in a specified length of time interval or region, is called a

Answer 9

Poisson random variable

Question 10

 Discrete distribution that models the number of events in a fixed sample size when you know the total number of items in the population that the sample is from
 Each item in the sample has two possible outcomes (either an event or a nonevent)

Answer 10

Hypergeometric Distribution

Question 11

In hypergeometric distribution ___ is the # of successes in the population

Answer 11

K

Question 12

In hypergeometric distribution ___ is the # of observed successes

Answer 12

k

Question 13

In hypergeometric distribution ___ is the population size

Answer 13

N

Question 14

In hypergeometric distribution ___ is the number of draws

Answer 14

n

Question 15

 the distribution of all possible values taken by the statistic when all possible samples of a
fixed size n are taken from the population.
 A statistic that determines the probability
of an event based on data from a small
group within a large population.
 Primary purpose: establish representative results of small samples of a comparatively
large population

Answer 15

Sampling Distribution Theory

Question 16

 it is the measure of observed activity
in a given group of data

Answer 16

the number observed in the population “N”

Question 17

 it is the measure of observed activity
in a random sample of data that is
part of the larger grouping

Answer 17

the number observed in the sample “n”

Question 18

 how you chose the samples can account for variability in some cases

Answer 18

the method of choosing the sample

Question 19

 focuses on calculating the mean of
every sample group chosen from the
population and plotting the data
points

Answer 19

Sampling distribution of the mean

Question 20

 focuses on proportions in a population

Answer 20

Sampling distribution of proportion

Question 21

 sampling distribution that involves a
small population or a population
where you don’t know much about
 used to estimate the mean of the
population and other statistics such
as confidence intervals, statistical
differences, and linear regression
 it uses the t-score to evaluate data
that wouldn’t be appropriate for a
normal distribution

Answer 21

T-distribution

Question 22

 states that the sampling distribution of the sample means approaches a normal
distribution as the sample size gets larger
 the theorem is true for sample sizes greater than 30

Answer 22

Central Limit Theorem