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Probability and Statistics HW 1

# Probability and Statistics HW 1 - d If the first apple is...

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Probability and Statistics HW 1 1) For problem 2-19 show the following: a. C ' U B b. (A ∩ B) U C ' c. (A ∩ B) U C d. (A ∩ B) U (A ∩ B ') e. (A U C) ' 2) A box of apples contains 10 apples; 3 red and 2 yellow and 5 green. Answer the following knowing that selection is without replacement: a. If I select two apples at random, what is the probability that both are green? b. If I select two apples at random, what is the probability that the second one is red? c. If I select two apples at random, what is the probability that neither one is yellow?
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Unformatted text preview: d. If the first apple is red, what is the probability that the second one is red? e. If I select two apples at random what is the probability that one is red and one is green? 3) Solve Problem 2 if selection was with replacement. 4) Solve Problem 2- 62 5) Solve problem 2-82 6) Draw a Venn diagram that shows the following cases for events A, B and C (You may suggest more than one answer for each part): a. P(A/B) = 0 b. P(A/B) = 1 c. P(A/B) = 1 and P(B/C) = 1 d. P(A/C) = 1 and P(B/C) = 0 Dr. Abdallah...
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