A traveling salesman can be found at one of four cities (C1, C2, C3 and C4) at any given time. The probabilities of being at these cities are: P(C1) = 1/8, P(C2) = 1/8, P(C3) = 1/4, P(C4) = 1/2. de always carries his cellphone with him. Let X be the event that his cellphone has coverage. The robabilities that his cellphone has coverage knowing in which city he is, are as following: P(X|C1) = 1/2, P(X|C2) = 1, P(X|C3) = 3/4, P(X|C4) = 3/4. %3D Vhat is the probability of X2

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8. A traveling salesman can be found at one of four cities (C1, C2, C3 and C4) at any given time.
The probabilities of being at these cities are:
P(C1) = 1/8, P(C2) = 1/8, P(C3) = 1/4, P(C4) = 1/2.
He always carries his cellphone with him. Let X be the event that his cellphone has coverage. The
probabilities that his cellphone has coverage knowing in which city he is, are as following:
P(X|C1) = 1/2, P(X\C2) = 1, P(X|C3) = 3/4, P(X|C4) = 3/4.
What is the probability of X?
1
а.
12
b.
4
1
с.
4
d.
12
Transcribed Image Text:8. A traveling salesman can be found at one of four cities (C1, C2, C3 and C4) at any given time. The probabilities of being at these cities are: P(C1) = 1/8, P(C2) = 1/8, P(C3) = 1/4, P(C4) = 1/2. He always carries his cellphone with him. Let X be the event that his cellphone has coverage. The probabilities that his cellphone has coverage knowing in which city he is, are as following: P(X|C1) = 1/2, P(X\C2) = 1, P(X|C3) = 3/4, P(X|C4) = 3/4. What is the probability of X? 1 а. 12 b. 4 1 с. 4 d. 12
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