Chapter 5 stats test

Conditional

Dependent events are also called conditional probability

Independent

Two events are independent if the occurrence or nonoccurrence pf one event does not change the probability of the other event

You are given the information that P(A) = 0.30 and P(B) = 0.40. (a) Do you have enough information to compute P(A and B)? Explain.

No. You need to know if the events are independent or the value of P(A | B) or P(B | A)

You are given the information that P(A) = 0.30 and P(B) = 0.40. Do you have enough information to compute P(A or B)? Explain.

No. You need to know the value of P(A and B).

P(A or B) =

P(A)+ P(B) - P(A and B)

Tree diagram

A visual display of the total number of outcomes of an experiment consisting of a series of events

Mutually exclusive

Tow events are naturally exclusive if they cannot occur together. In particular, events A and B are mutually exclusive if P(A and B)= 0

Dependent

When occurrence of one event impacts the occurrence of another event

If you know that events A and B are independent, do you have enough information to compute P(A and B)? Explain.

Yes. For independent events, P(A and B) = P(A) · P(B).

If you know that events A and B are mutually exclusive, do you have enough information to compute P(A or B)? Explain.

Yes. P(A and B) = 0, so P(A or B) = P(A) + P(B).