intro to probabilities

Question 1

probability

Answer 1

numerical measure of liklihood event will occur

Question 2

probability eq

Answer 2

number of favorable outcomes/# of total outcomes

Question 3

combination

Answer 3

allows one to count number of experimental outcomes when experiment involves selecting n objects from set of N objects

Question 4

combination rule formula

Answer 4

N!/n!(N-n)!

Question 5

is order neccessary for counting rule for permutation

Answer 5

yes

Question 6

counting rule for permutation objective

Answer 6

count n objects from a set of N objects when order of selection is important

Question 7

can numbers be repeated for counting rule for permutation with replacement

Answer 7

yes

Question 8

can numbers be repeated for counting rule for permutation without replacement

Answer 8

no

Question 9

two types of counting rule for permutation

Answer 9

with and without replacement

Question 10

with replacement formula

Answer 10

N^n

Question 11

counting rule for permutation without replacement formula

Answer 11

N!/(N-n)!

Question 12

multiplication principle

Answer 12

sequence of K steps with n1 possible outcomes in 1st step and n2 in second step

Question 13

does first step impact the second with multiplcation ruke

Answer 13

no

Question 14

does first step impact the second with addition principle

Answer 14

yes

Question 15

addition principle is

Answer 15

if 2 events E1 and E2 can occur indenpendently in m and n ways, then either of two events can occur in (m+n) ways

Question 16

probbaility assigned to each experimental outcome must be between what

Answer 16

0-1

Question 17

sum of all probabilities for all experimental outcomes is

Answer 17

1

Question 18

pairwise mutually

Answer 18

in logic and prob theory two events are mutually exclusive or disjoint if they can not both occur at same time

Question 19

what are the three method of assigning probabilities

Answer 19

classical, relative freq, ad subjective

Question 20

classical method

Answer 20

approproate when all outcomes are equally likely
-if n outcomes are possible, then probability of 1/n is assigned to each outcome

Question 21

relative freq method

Answer 21

appropriate when data is available to estimate the proportion of time the outcome will occur if the experiment is repeated a large # of times

Question 22

subjective method

Answer 22

appropriate when one cannot realistically assume exp outcomes are equally likely and when little relevant data is available

Question 23

what generates probability

Answer 23

repeated observations and theory

Question 24

set theory

Answer 24

-compound events: union and intersection
-mutually exclusive evenys
-complement

Question 25

compliment of A

Answer 25

the event consisting of all sample points not in A

Question 26

union of 2 events

Answer 26

the union of A and B is venet containing all sample points belonging to A or B or both

Question 27

intersection of A and B

Answer 27

the event containing sample points belonging to both A and B

Question 28

know addition law for mutually exclusive events

Answer 28

yes

Question 29

know addition law for non mutually exclusive events

Answer 29

yes

Question 30

mutually exclusive events

Answer 30

two events are said to be mutually exclusive if events have no sample points in common