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Question 3 (1 point) Let A and B be events with P(A) = 0.65 , P(B) = 0.57 , and

ID: 3048647 • Letter: Q

Question

Question 3 (1 point) Let A and B be events with P(A) = 0.65 , P(B) = 0.57 , and P(B | A) = 0.65 Find P(A and B). Write only a number as your answer. Round to two decimal places (for example: 0.52). Do not write as a percentage. Your Answer: Answer Save Question 4 (1 point) Let A and B be independent events with P(A) = 0.42 and P(B) = 0.58 . Find P(A and B) Write only a number as your answer. Round to two decimal places (for example: 0.52). Do not write as a percentage. Your Answer: Answer Save Question 5 (1 point) Luis has a coin that is weighted so that the probability that Heads appears when it is tossed is 0.51. Suppose that the coin is tossed 3 times. What is th probability that all 3 tosses are Heads? Write only a number as your answer. Round to four decimal places (for example: 0.0325). Do not write as a percentage Your Answer Answer Save

Explanation / Answer

3) P(A)= 0.65 , P(B)= 0.57 and P(B given A)= 0.65

P(A and B)=  p(A) * p(B|A)= 0.65*0.65= 0.4225= 0.42

4) A AND B ARE INDEPENDENT EVENTS

P(A AND B)= P(A)*P(B)= 0.42*0.58= 0.2436= 0.24

PLEASE REPOST QUESTION 5 THANK YOU!

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