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Suppose that P(A) = 0.2 and P(B) = 0.7. If events A and B are mutually exclusive, find the following probabilities. (a) P(A ? B) (b) P(A ? B)

          Suppose that P(A) = 0.2 and P(B) = 0.7. If events A and B are mutually exclusive, find the following probabilities.
(a) P(A ? B)
(b) P(A ? B)
        
Suppose that P(A) = 0.2 and P(B) = 0.7. If events A and B are mutually exclusive, find the following probabilities.
(a) P(A ? B)
(b) P(A ? B)

Added by Juan Francisco L.

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Elementary Statistics a Step by Step Approach
Elementary Statistics a Step by Step Approach
Allan G. Bluman 9th Edition
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Suppose that P(A) = 0.2 and P(B) = 0.7. If events A and B are mutually exclusive, find the following probabilities. (a) P(A ∩ B) (b) P(A ∪ B)
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Transcript

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00:01 In this problem, it is said that the probability of an event a is 0 .2 and the probability of an event b is 0 .7.
00:08 Now, if the events a and b are mutually exclusive, then we have been asked to find some probabilities.
00:14 So first of all, we want to find the probability of a intersection b.
00:19 For that purpose, recall that intersection represents and.
00:22 So a intersection b represents the event of a and b happening together.
00:27 Now, a and b are mutually exclusive, which means that they cannot happen together.
00:32 And so a and b, that is a intersection b, is an impossible event...
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