Make up Name Test 3 Chapter 5 and Markov Models 1-16 are 5 points each 17 and 18

Question

Make up Name Test 3 Chapter 5 and Markov Models 1-16 are 5 points each 17 and 18 are 10 points each 1. If an event cannot occur, its probability is 2. If an event is certain to occur, its Probability is_ 3. A fair coin is tossed 3 times. Assuming P(H)-PT 1/2 for each toss, what is the probability of getting 3 tails? 4, Say 60% of college male students are 6 ft tall or taller. If I randomly choose s college student, what is the probability that he is at least 6 ft tall? 5. If events A and B are mutually exclusive, then P(A and B)- 6. Say P(A) 0.4 and P(B)- 0.7. What is P(AS 7. Say for a course the grade distribution is: 20 B 50 C 3 D What is the probability that a randomly chosen student from that course will have a grade of A? 8. Two events are if the occurrence of one event does not affect the probability that the other event occurs. 9. A and B are events with P(A)-0.4, P(B)-0.7, and P(B]A)-0.3. Find P(A and B)

Explanation / Answer

1) If the event can't occur, its probability is zero.

2) If an event is certain to occur, its probability is one.

3) P(getting 3 tails) = (1/2) * (1/2) * (1/2) = 1/8

4) P(at least 6 ft tall) = 0.6

5) P(A and B) = 0

6) P(Ac) = 1 - P(A) = 1 - 0.4 = 0.6

7) Total students = 5 + 20 + 50 + 3 + 2 = 80

P(grade A) = 5/80 = 0.0625

8) Two events are independent

9) P(A and B) = P(B | A) * P(A) = 0.3 * 0.4 = 0.12

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