# Answer_HK1 - C C B A ∩ Exercise 3.51 b 0.648 c 0.124 d No...

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Homework 1 – Solutions Exercise 3.10: a.) P(A) = 0.3, P(B) = 0.2 b.) P(A) = 0.25, P(B) = 0.3 Exercise 3.11: P(A) = 0.55, P(B) = 0.50, P(C) = 0.70 Exercise 3.12: a.) 126 b.) 21 c.) 1 d.) 1 e.) 6 Exercise 3.14: P(A) = 1/36, P(B) = 1/2, P(C) = 1/6, P(D) = 11/36, P(E) = 1/6 Exercise 3.15: P(A) = 1/10, P(B) = 6/10, P(C) = 3/10 Exercise 3.17: 600/12,000 = 0.05 Exercise 3.24: a.) BB, BG, GB, GG b.) ¼ each c.) Yes d.) There is no evidence to indicate that the statement is true Exercise 3.31: a.) 15 b.) 20 c.) 15 d.) 6 e.) 1 + 6 + 15 + 20 + 15 + 6 + 1 = 64 Exercise 3.40: a.) 0.3 b.) 0.6 c.) 0.8 Exercise 3.43: a.) ¾ b.) 13/20 c.) 1 d.) 2/5 e.) ¼ f.) 7/20 g.) 1 h.) ¼ Exercise 3.48: a.) B A b.) C A c.) C B

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Unformatted text preview: C C B A ∩ Exercise 3.51: b.) 0.648 c.) 0.124 d.) No e.) 0.316 f.) 0.717 g.) 0.091 Exercise 3.56: Combinations that sum to 9 # of Permutations Combinations that sum to 10 # of Permutations 1,2,6 6 1,3,6 6 1,3,5 6 1,4,5 6 1,4,4 3 2,2,6 3 2,2,5 3 2,3,5 6 2,3,4 6 2,4,4 3 3,3,3 1 3,3,4 3 There are 25 possible combinations which sum up to 9, whilst there are 27 possible combinations which sum up to 10. Although the number of combinations/partitions are the same, there is only 1 possible permutation for the combination 3,3,3. As a result, the probability of rolling a 10 is higher than the probability of rolling a 9...
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Answer_HK1 - C C B A ∩ Exercise 3.51 b 0.648 c 0.124 d No...

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