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Assume that we have two events, A and B, that are mutually exclusive. Assume further that we know P(A) = 0.50 and P(B) = 0.20. (a) What is P(A ∩ B)? P(A ∩ B) = (b) What is P(A | B)? P(A | B) = (c) A student in statistics argues that the concepts of mutually exclusive events and independent 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. Events A and B independent because , therefore I with the student. (d) What general conclusion would you make about mutually exclusive and independent events given the results of this problem? Mutually exclusive events are .

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Answer:

a) 0

b) 0

c)No

d) Mutually exclusive event are not independent and when events are independent they cannot be mutually exclusive.

Step-by-step explanation:

From the question,

P(A) = 0.50

P(B) = 0.20.

a) Event A and event B cannot take place at the same time which means they are mutually exclusive, and whenever an event is not possible to take place, then the probability is Zero. Therefore,

P(A ∩ B)= 0

b) CHECK THE ATTACHMENT BELOW

c)No, the reason been that when event are mutually exclusive therefore, they cannot take place at the same time. Because when one event takes place here the other will not take place.

d) Mutually exclusive event are not independent and when events are independent they cannot be mutually exclusive.

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