Lec 3

Question 1

what is the definition of probability?

Answer 1

Numerical measure of likelihood that an event will occur. The proportion of
times the event would occur if we repeated a random trial over and over, under
identical conditions

Question 2

a pr[event] ranges from what to what?

Answer 2

0-1

Question 3

what do probability distributions describe?

Answer 3

the probabilities of all mutually exclusive outcomes

Question 4

what is the sample space of an experiment?

Answer 4

the set of all experimental outcomes

Question 5

what does a discreet random variable assume?

Answer 5

they assume that the data has discreet values

Question 6

what does a continuous random variable assume?

Answer 6

the data could have any value at an interval

Question 7

the total area under the curve always sums to what?

Answer 7

10

Question 8

the area under the curve describes what?

Answer 8

the probability that a randomly chosen variable falls within some range

Question 9

to find the amount of different data sets you must take what equation?

Answer 9

N^K, N is the number of possible outcomes of each trial, and K is the number of trials

Question 10

what is N!?

Answer 10

N! is the factorial of N e.g. (if n=5, N!= [12345])

Question 11

what is the classical method for probability?

Answer 11

all outcomes are equally likely

Question 12

what is the relative frequency method of probability?

Answer 12

based on observations?

Question 13

what is the subjective frequency method?

Answer 13

based on frequencies

Question 14

what is an event?

Answer 14

a collection of one or more sample points

Question 15

P(event) is what?

Answer 15

the sum of probabilities of sample points at the event

Question 16

what are mutually exclusive events?

Answer 16

events that cannot occur at the same time

Question 17

the probabilities of all mutually exclusive events sum to what?

Answer 17

1

Question 18

for mutually exclusive events their probabilities follow what rule?

Answer 18

the addition rule

Question 19

what is the addition rule?

Answer 19

when accouting for mutually exclusive probabilities add both values

Question 20

what is the general addition rule?

Answer 20

for non mutually exclusive events you add both values and then subtract the sum by the multiplied value of both values.

Question 21

if events are both indipendant what rule do you follow?

Answer 21

the multiplication rule

Question 22

what is the multiplication rule?

Answer 22

if two events are indipendant multiply their respective pr(values)

Question 23

what is a dependant event?

Answer 23

an event where the data is analyzed provided that an event occured