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chapter 17 - probability Flashcards

(18 cards)

1
Q

sample space

A

set of all possible outcomes

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2
Q

event

A

subset of a sample space

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3
Q

complementary probability - P(A’)

A

1-P(A)

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4
Q

mutually exclusive - P(AUB)

A

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

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5
Q

independence - P(A∩B)

A

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

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6
Q

mutually exclusive and independent
t

A

mutually exclusive events can’t be independent

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7
Q

ΣP(X=x) =

A

1

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8
Q

X ~B (n,p)

A

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

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9
Q

set notation for binomial distribution

A

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

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10
Q

P(X = r)

A

nCr p^r q^n-r

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11
Q

ΣP(X = r) =

A

1

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12
Q

the required properties for binomial distribution

A
  • 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
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13
Q

on calc do P(x>=1)

A

do 1 - P(x=0)

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14
Q

nCr =

A

n! / r! (n-r)!

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15
Q

probability of A when all outcomes are equally likely

A

n(A) / n(sample space)

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16
Q

discrete probability distributions

17
Q

outcomes affected by chance

A

random variable
(rV X)
- normally in a table