Problem 15. Give an example of a two mutually exclusive events. Problem 16. Give an example...

Problem 15. Give an example of a two mutually exclusive events.

Problem 16. Give an example of three events E, F, and G so that each pair of events is mutually exclusive

Problem 17. Consider a situation where #(all) = 100, #(E) = 32, #(F) = 52, and #(E ∩ F) = 13. 1. Find P(E | F). 2. Calculate #(E ∩ F) #(F) and explain why this matches the value in part 1. Problem 18. Suppose we have 30 shuffled cards numbered 1-30. What is the probability of drawing an even value given that the value is greater than 9?

Problem 19. Suppose we roll a 6-sided die two times. What is the probability of the sum of the values being greater than 7 given that the first roll was a 5?

Expert Solution

milcah answered 1 year ago

Define the independent events. Give an example for each of them: a) Mutually exclusive b) Independent...

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“If two events are mutually exclusive, they must not be independent events.” Is this statement true...

“If two events are mutually exclusive, they must not be independent events.” Is this statement true or false? Explain your choice.

Describe the difference between the probability of two mutually exclusive events, two complementary events, and two...

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Which of the following statements is false? If I have two mutually exclusive events A and...

Which of the following statements is false? If I have two mutually exclusive events A and B, then P(A|B)=0. Two independent events cannot occur at the same time. If I have two independent events A and B, then P(A|B)=P(A). Event A is independent of event B when the outcome of A has no impact on B.

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1. If A and B are mutually exclusive events, does it follow that An and B...

1. If A and B are mutually exclusive events, does it follow that An and B cannot be independent events ? Give an example to demonstrate your answer. For example, discuss an election where only one person can win. Let A be the event that party A’s candidate wins, let B be the event that party B’s candidate wins. Does the outcome of one event determine the outcome of the other event ? Are A and B mutually exclusive events...

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