Ch 5 Concepts+R

Question 1

Probability

Answer 1

proportion of times the event occurs in the long run

Question 2

sample space

Answer 2

contains all the possible outcomes of a probability experiment

Question 3

Event model

Answer 3

outcome or a collection of outcomes from a sample space

Question 4

Probability model

Answer 4

probability experiment of a sample space

Question 5

Law of large numbers

Answer 5

probability experiment repeated will approach its probability (proportion of times it occurs)

Question 6

R-proportion vector

Answer 6

prop=numeric(n)

Question 7

R-n=1000

Answer 7

total amount of experiments

Question 8

R- when i=1

Answer 8

x=c(1,0,0,1….)
prop[1]=sum(x[1:1])/1
x[1:1]=c(1)
prop[1]=1/1=1
1,0,0,0,0,0……..

Question 9

R-when i=2

Answer 9

x=c(1,0,0,1…..)
prop[2]=sum(x[1:2])/2
x[1:2]=c(1,0)
prop[2]=1/2=0.5
1,0.5,0,0…….

Question 10

Probability experiment

Answer 10

when we don’t know the result but we know a long series of repetitions will come out.

Question 11

sample space

Answer 11

has all possible outcomes of a probability experiment (ex, S-{1,2,3,4,5,6} for six sided die)

Question 12

Ex of Sample space & probability: We would like to draw a SRS of n=3 from 10 people
a) what is the sample space
b) what is the probability both Person 1 and 2 will be selected

Answer 12

a) S={(1,2,3),(1,2,4),(1,2,5)….(8,9,10)}
b) (possibilities with 1,2 in them/ total # of possiblities)

8/(10
3)
8/120

Question 13

How do you compute (10
3)

Answer 13

10 choose 3
=(10!)/ 3!(10-3)!

Question 14

Computing probability with equally likely outcomes P(A)

Answer 14

of outcomes in A/ # of outcomes in a sample space aka (k/n)

Question 15

The porbability of any event is always between

Answer 15

0 and 1 (0 being impossible) and 1 being guaranteed