nishant stats ass 2.docx.doc - Running Head Assignment 2 1 Assignment 2 Shubham 2018100709 BUSI1013-19F-C-ON_BBA3B Yorkville University 1 Assignment 2 A

nishant stats ass 2.docx.doc - Running Head Assignment 2 1...

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Running Head: Assignment 2 1 Assignment 2 Shubham 2018100709 BUSI1013-19F-C-ON_BBA3B Yorkville University 1.
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Assignment 2 2 A. P (A) = 2.3 Answer: P (A), as probability, is between 0 and 1. B. P (complement of A) = 0.7 given that P (A) = 0.7 Answer: P (complement of A) = 1- P (A) = 1- 0.7 = 0.3 not 0.7 C. P (A or B) = 1.0 if P(A) = 0.2 and P(B) = 0.5 Answer: P (A or B) = P (A) + P (B) – P (A or B). P (A or B) cannot exceed 0.7. P (A and B) cannot be negative. D. P (A and B) = 0.2 Answer: Probability cannot be negative; probability is between 0 and 1. 2. A. P (A or B) Answer: 0.42 + 0.5 – 0.2 = 0.72 B. P (the complement of B) Answer: 1 – 0.5 = 0.5 C. P (the complement of event “A or B”) Answer: 1 – 0.72 = 0.28 D. P (A|B) Answer: P (A and B) / P (B) = 0.2 / 0.5 = 0.4 E. P (B|A) Answer: P (A and B) / P (A) = 0.2 / 0.42 = 0.4762 F. Are the events A and B independent? Please use probabilities to justify your answer.
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Assignment 2 3 Answer: Events A and B are not independent; P(A|B) = 0.4 not equal to P (A) = 0.42 3. A. What is the probability that he is from the Uptown branch? Answer: 100/144 = 0.6944 B. What is the probability that he plans to be with the company one year from now? Answer: 132/144 = 0.9167 C. What is the probability that he is from the Downtown branch and plan to be with the company one year from now?
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  • Fall '15
  • Nedal Ismail

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