Respuesta :
A) In both cities = 0.3
B) In neither cities = 0.2
Given,
P(Industry in Shanghai) = P(A) = 0.7
P(Industry in Beijing) = P(B) = 0.4
P(Industry in Shanghai or Beijing) = P(A∪B) = 0.8
a) We need to find the probability that the industry is located in both Shanghai and Beijing.
That is we need to find P(A∩B)
P(A∪B) = P(A) + P(B) - P(A∩B)
Substituting the values we get,
0.8 = 0.7 + 0.4 - P(A∩B)
P(A∩B) = 0.3
Thus, the probability that the industry is located in both Shanghai and Beijing is 0.3.
b) Now, we need to find the probability that it is not in either cities
Probability = 1 - Probability(Industry in Shanghai or in Beijing)
= 1 - P(A∪B)
= 1 - 0.8
= 0.2
Learn more about probability here: https://brainly.com/question/13335415
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The question is incomplete. Completed question is given below.
The probability that an American industry will locate in Shanghai, China, is 0.7, the probability that it will locate in Beijing, China, is 0.4, and the probability that it will locate in either Shanghai or Beijing or both is 0.8. What is the probability that the industry will locate
A. in both cities?
B. in neither city?
