Let A denote the event that the next request for assistance from a statistical software consultant relates to the SPSS package, and let B be the event that the next request is for help with SAS. Suppose that P(A) = 0.20 and P(B) = 0.50. (There are various packages such as Minitab, SPSS, SAS, JMP, and R.) (a) Why is it not the case that P(A) + P(B) = 1? O The probabilities should add to 1; P(A) or P(B) must be recorded incorrectly. O The probabilities do add to 1. O The probabilities do not add to 1 because there are other software packages for which requests could be made. O The probabilities are not mutually exclusive and thus they do not need to add to 1. O The probabilities do not add to 1 because they are independent events. (b) Calculate P(A'). (c) Calculate P(A U B). (d) Calculate P(A' n B').

Let A denote the event that the next request for assistance from a statistical software consultant relates to the SPSS package, and let B be the event that the next request is for help with SAS. Suppose that P(A) = 0.20 and P(B) = 0.50. (There are various packages such as Minitab, SPSS, SAS, JMP, and R.) (a) Why is it not the case that P(A) + P(B) = 1? O The probabilities should add to 1; P(A) or P(B) must be recorded incorrectly. O The probabilities do add to 1. O The probabilities do not add to 1 because there are other software packages for which requests could be made. O The probabilities are not mutually exclusive and thus they do not need to add to 1. O The probabilities do not add to 1 because they are independent events. (b) Calculate P(A'). (c) Calculate P(A U B). (d) Calculate P(A' n B').

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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