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n987
02.10.2019 •
Mathematics
Acomputer consulting firm presently has bids out on three projects. let ai = {awarded project i}, for i = 1, 2, 3, and suppose that p(a1) = 0.22, p(a2) = 0.25, p(a3) = 0.28, p(a1 ∩ a2) = 0.12, p(a1 ∩ a3) = 0.03, p(a2 ∩ a3) = 0.06, p(a1 ∩ a2 ∩ a3) = 0.01. express in words each of the following events, and compute the probability of each event. (a) a1 ∪ a2
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Ответ:
(a) P(A1 ∪ A2) = 0.35
Step-by-step explanation:
(a) A1 ∪ A2 :
We start by defining the events.
A1 : '' awarded project 1''
A2 : ''awarded project 2''
A3: ''awarded project 3''
In set theory we write the union of events A and B as A∪B.
A∪B means that the event A occurs,event B occurs or either both events occurs at the same time.
The probability is given by the equation :
P(A∪B) = P(A) + P(B) - P(A∩B) (1)
Where the event (A∩B) is the event where A and B occur at the same time
and P(A∩B) is the probability of (A∩B)
Using the equation (1) :
P(A1 ∪ A2) = P(A1) + P(A2) - P(A1∩A2)
P(A1 ∪ A2) = 0.22 + 0.25 - 0.12
P(A1 ∪ A2) = 0.35
Ответ:
im confused
Step-by-step explanation: