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) = 0.10 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? The probabilities do not add to 1 because they are independent events.The probabilities should add to 1; P(A) or P(B) must be recorded incorrectly. The probabilities do not add to 1 because there are other software packages for which requests could be made.The probabilities do add to 1.The probabilities are not mutually exclusive and thus they do not need to add to 1. (b) Calculate P(A'). (c) Calculate P(A ∪ B). (d) Calculate P(A' ∩ 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) = 0.10 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? The probabilities do not add to 1 because they are independent events.The probabilities should add to 1; P(A) or P(B) must be recorded incorrectly. The probabilities do not add to 1 because there are other software packages for which requests could be made.The probabilities do add to 1.The probabilities are not mutually exclusive and thus they do not need to add to 1. (b) Calculate P(A'). (c) Calculate P(A ∪ B). (d) Calculate P(A' ∩ B').
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
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) = 0.10
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?
The probabilities do not add to 1 because they are independent events.The probabilities should add to 1; P(A) or P(B) must be recorded incorrectly. The probabilities do not add to 1 because there are other software packages for which requests could be made.The probabilities do add to 1.The probabilities are not mutually exclusive and thus they do not need to add to 1.
(b)
Calculate
P(A').
(c)
Calculate
P(A ∪ B).
(d)
Calculate
P(A' ∩ B').
Expert Solution
Step 1
(a)
The given probability and .
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