Chapter 4 Introduction to Probability Assume that we have two events, A and B, t

Question

Chapter 4 Introduction to Probability Assume that we have two events, A and B, that are mutually exclusive. Assume further that we know P(A) = .30 and P(B) = .40. a. What is P(A N B)? b. What is PA B)? c. A student in statistics argues that the concepts of mutually exclusive events and inde- 31. pendent events are really the same, and that if events are mutually exclusive they must be independent. Do you agree with this statement? Use the probability information in this problem to justify your answer. What general conclusion would you make about mutually exclusive and independent events given the results of this problem? d.

Explanation / Answer

SInce events are mutually exclusive

a) P( A intersection B)=0

b) P(A/B) = P( A intersection B)/P(b)=0

c) No,Mutually exclusive events cannot happen at the same time. For example: when tossing a coin, the result can either be heads or tails but cannot be both.Events are independent if the occurrence of oneevent does not influence .

d) Mutually exclusive events need not be independent.

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