Formulas

Question 1

Binomial Experiment

Answer 1

1. The same experiment repeated a fixed number of times
2. Only success or failure
3. Repeated trials are independent

Question 2

Binomial Equation

Answer 2

(x sucess in n trials) C(n,x)p^x1-p^n-x

Question 3

Probability distribution

Answer 3

0 1 2 3 / 14/55 28/55 12/55 11/55= 1

Question 4

Expected value

Answer 4

E(x)= x1p1* x2p2 * …nxpn

Question 5

E^F ^=upsidedown U

Answer 5

Both E and F

Question 6

EUF

Answer 6

E or F or both

Question 7

E’

Answer 7

E doesn’t occur

Question 8

Events that cant occur at same time

Answer 8

mutually exclusive

Question 9

Basic probability principle

Answer 9

n(e)/n(s)

Question 10

Union rule for probability

Answer 10

P(EUF)=P(E)+P(F)-P(E^F)

Question 11

Multiplication principle

Answer 11

m1m2m3…mn m1-ways to make choice 1 m2= ways choice 2

Question 12

Compliment rule

Answer 12

p(E)=1-P(E’) and p(E’)= 1-P(e)

Question 13

odds in favor

Answer 13

P(E)/P(E’) 1/3 / 2/3= 1/2 or 1 to 2 1:2

Question 14

odds in favor

Answer 14

m to n then P(E)= m/m+n P(E’)= n/m+n

Question 15

Conditional Probability AIB

Answer 15

Probability A given B occured

Question 16

P (EIF)

Answer 16

P(E^F)/P(F)

Question 17

p(B^A)/P(A)

Answer 17

n(A^B)/n(A)

Question 18

Bayes theorem

Answer 18

P(F)P(EIF)
_________
P(F)P(EIF)+ P(F2)P(EIF2)…+P(Fn)P(EIFn)

Question 19

Product rule

Answer 19

P(E^F)= P(F)P(EIF) or P(E^F)= P(E)P(FIE)

Question 20

P(FIE)=P(F) or P(EIF)=P(E)

Answer 20

Independent events

Question 21

Product rule of probability

Answer 21

P(E^F)=P(F)P(EIF) or P(E^F)=P(E)P(FIE)

Question 22

At most one

Answer 22

0 OR 1

Question 23

Combinations to solve prob

Answer 23

C(x)*C(p)/C(total)

Question 24

At most 4

Answer 24

0 or 1 or 2 or 3 or 4