chapter 17 - probability

Question 1

sample space

Answer 1

set of all possible outcomes

Question 2

event

Answer 2

subset of a sample space

Question 3

complementary probability - P(A’)

Answer 3

1-P(A)

Question 4

mutually exclusive - P(AUB)

Answer 4

can’t happen at the same time
P(A) + P(B)

Question 5

independence - P(A∩B)

Answer 5

do not effect each other
P(A) * P(B)
P(A U B ) = P(A) + P(B) - P(A∩B)

Question 6

mutually exclusive and independent
t

Answer 6

mutually exclusive events can’t be independent

Question 7

ΣP(X=x) =

Answer 7

1

Question 8

X ~B (n,p)

Answer 8

r.V. X = no. successes
n = no. trials
p = prob of success

Question 9

set notation for binomial distribution

Answer 9

X ~B (n,p)
q = 1-p = no. failures

Question 10

P(X = r)

Answer 10

nCr p^r q^n-r

Question 11

ΣP(X = r) =

Answer 11

1

Question 12

the required properties for binomial distribution

Answer 12

• has 2 mutually exclusive outcomes (success or failure)
• has a fixed number of INDEPENDANT trials = n
• prob of success at each trial is constant = p

Question 13

on calc do P(x>=1)

Answer 13

do 1 - P(x=0)

Question 14

nCr =

Answer 14

n! / r! (n-r)!

Question 15

probability of A when all outcomes are equally likely

Answer 15

n(A) / n(sample space)

Question 16

discrete probability distributions

Question 17

outcomes affected by chance

Answer 17

random variable
(rV X)
- normally in a table