Statistics Independent Events

Which pair shows INDEPENDENT EVENTS?

• Monday or Tuesday

• January or February

• 1:00 or 2:00

• Birthday or Christmas

Independence in statistics is...

• the occurrence of one outcome does not affect the probability of the occurrence of the other

• two mutually exclusive probabilities that are conditional

• two mutually exclusive probabilities that are conditional

• the occurrence of 2 or more outcomes that affects the probability of the occurrence of the other

The multiplication rule in statistics states that...

• to find the probability of two events happening at the same time, you can use the general multiplication rule formula of P(A ∩ B) = P(A) P(B)

• to find the probability of one event happening, you can use the general multiplication rule formula of P(A ∩ B) = P(A)

• to find the probability of two events happening at the same time, you can use the general multiplication rule formula of P(A ∩ B) = P(A) / P(B)

• to find the probability of two events happening at the same time, you can use the general multiplication rule formula of P(A ∩ B) = P(A)+ P(B)

A discrete frequency distribution which gives the probability of a number of independent events occurring in a fixed time is considered a...

• Poisson distribution

• normal distribution

• uniform distribution

• exponential distribution

What does it mean for two events to be independent of each other?

• What happens in the second event depends on what happens in the first.

• The result of the first event has no effect on the result of the next event.

If you draw out a red marble, keep it, then draw out a blue marble, is it independent or dependent probability?

• Independent

• Dependent

If you flip a coin two times, is it independent or dependent probability?

• Independent

• Dependent

Find P(Part Time given Female) =

• 15/31

• 43/71

• 31/43

• 15/43

What is the probability that a student does play a sport given they do not play an instrument? 

• .2

• .2222

• .10

• .5

Find P( Female | Part-time) =

• 15/31

• 43/71

• 31/43

• 15/43