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In: Statistics and Probability

9. An engineering school reports that 56% of its students were male (M), 35% of its...

9. An engineering school reports that 56% of its students were male (M), 35% of its students were between the ages of 18 and 20 (A), and that 25% were both male and between the ages of 18 and 20.What is the probability of choosing a random student who is a female or between the ages of 18 and 20? Assume P(F) = P(not M). Your answer should be given to two decimal places.

10. An engineering school reports that 55% of its students were male (M), 30% of its students were between the ages of 18 and 20 (A), and that 24% were both male and between the ages of 18 and 20.What is the probability of a random student being male or between the ages of 18 and 20? Your answer should be rounded to two decimal places.

11. Let A and B be two independent events such that P(A) = 0.37 and P(B) = 0.53.
What is P(A or B)? Your answer should be given to 4 decimal places.

12. Let A and B be two independent events such that P(A) = 0.1 and P(B) = 0.8.
What is P(A and B)? Your answer should be given to 2 decimal places.

13. Let A and B be two disjoint events such that P(A) = 0.25 and P(B) = 0.03.
What is P(A and B)?

14. Let A and B be two disjoint events such that P(A) = 0.27 and P(B) = 0.52.
What is P(A or B)?

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