Probability and Statistics

Question 0

Sample space

Answer 0

All of the possible outcomes (not the number of them!)

Question 1

Probability of event A

Answer 1

Number of ways event A can happen/total number of equally likely outcomes

Question 2

How would this be solved:

How many three letter combinations can be made from the 26 letters?

Answer 2

26^3=18576

Question 3

How would this be solved:
How many different ways can you arrange 3 books from a group of 10 best sellers in a
store window?

Answer 3

10x9x8=720

Options per slot

Question 4

Permutation

Answer 4

Arrangement of objects in a certain order

Question 5

P(n,r)

Answer 5

Number of permutations of n objects taken r at a time

Question 6

nPr=?

Answer 6

n!/(n-r)!

Question 7

n!

Answer 7

N-factorial

Question 8

6!

Answer 8

6x5x4x3x2x1= 720

Question 9

Permutation for n objects with a objects of one kind, b objects of another, c objects of another…

Answer 9

n!/a!b!c!

Question 10

Combination

Answer 10

An arrangement of objects in which order does not matter

Question 11

nCr

Answer 11

Number of combinations for n objects taken r at a time

Question 12

nC1=?

Answer 12

n

Question 13

nCn=?

Answer 13

1

Question 14

How would this be solved:
A pizza company offers 3 meat toppings and 9 vegetable toppings. How many different pizzas could be ordered if you wanted 2 meats and 3 veggies?

Answer 14

3C2x9C3

Question 15

Independent events

Answer 15

Events in which the occurrence or nonoccurrence of one has no effect on the likelihood of the other

Question 16

Dependent events

Answer 16

Events in which the occurrence or nonoccurrence of one affects the likelihood of the other

Question 17

How to find the probability of two independent events both occurring:

Answer 17

P(A and B)= P(A)xP(B)

Question 18

Mutually exclusive events

Answer 18

Events that cannot occur at the same time

Question 19

Inclusive events

Answer 19

Events that can occur at the same time

Question 20

How to find the probability of one of multiple mutually exclusive events happening

Answer 20

P(A or B)=P(A)+P(B)

Question 21

How to find the probability of one of multiple inclusive events occurring

Answer 21

P(A or B)=P(A)+P(B)-P(A and B)

Remember: P(A and B) is found with P(A)xP(B)

Question 22

How would this be solved:
There are seven ice cream flavors to choose from. You choose five randomly. You cannot choose one twice. What is the probability that your sundae will include both chocolate and vanilla?

Answer 22

1x5C3/7C5

Possibilities with both x other flavors in sundae/total possibilities

Question 23

How would this be solved:
There are seven ice cream flavors to choose from. You choose five randomly. You cannot choose one twice. What is the probability that your sundae will include neither chocolate or vanilla?

Answer 23

5C5/7C5

Possibilities without chocolate or vanilla/total possibilities

Question 24

How would this be solved:
There are seven ice cream flavors to choose from. You choose five randomly. You cannot choose one twice. What is the probability that your sundae will include either chocolate or vanilla but not both?

Answer 24

2x5C4/7C5

Number of ways with either but not both x other flavors in sundae/total possibilities

Question 25

Mean

Answer 25

Average

Question 26

Median

Answer 26

Middle number when all numbers are written in numerical order

Question 27

Mode

Answer 27

Most occurring number

Question 28

Standard deviation

Answer 28

Indicates the extent to which values in a data set are spread out from a central value like a mean or median

Question 29

In a normally distributed data set, the mean is also the…

Answer 29

Median

Question 30

In a normally distributed data set, the graph is…

Answer 30

Bell shaped and symmetrical

Question 31

List the percents of empirical form from left to right

Answer 31

2.5, 13.5, 34, MEAN 34, 13.5, 2.5

Question 32

____ percent of a graph is within one standard deviation from the mean.

Answer 32

68

Question 33

____ percent of a graph is within two standard deviations from the mean.

Answer 33

95

Question 34

____ percent of a graph is within three standard deviations from the mean.

Answer 34

99.7