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Place the word \"true\" or \"flase\" in front of each statement 5.1. if the even

ID: 3132378 • Letter: P

Question

Place the word "true" or "flase" in front of each statement 5.1. if the events A and B are mutually exclusive, then P(A or B) = P(A) + P(B) 5.2. If events A and B are independent with P(A) = 0.3 and P(B) = 0.8, then P(A and B) = 0.9 5.3. If an event is certain to occur, its probability is: P(E)=100. 5.4 If E is an event, then P(E^c)=P(E)=100. 5.4 if E is an event, then P(E^c)=P(E)+1 6.When a crd is selected from a deck, find the probability of getting: 6.1. A club 6.2 A king 6.3 A 6 or a spade 7. When two dice are rolled, find the probability of gettin: 7.1 A sum of 6 7.2. A sum greater than 9 7.3. A sum less than 13 8. A test has 10 multiple choice questions. Each question has 5 possible answers. one of which is correct. If you answer the questions by random guesses, what is probability of getting at least one answer correct

Explanation / Answer

5.1. TRUE.

This is so as P(A n B) = 0 in

P(A U B) = P(A) + P(B) - P(A n B)

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5.2

FALSE. If they are independent,

P(A n B) = P(A)P(B) = 0.3*0.8 = 0.24 [ANSWER]

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5.3

FALSE. The probability of a sure event is P(E) = 1. [ANSWER]

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5.4

FALSE. P(Ec) = 1 - P(E).

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