1)Assume that we tracked the down time of TV service in my local area in the pas
ID: 3152142 • Letter: 1
Question
1)Assume that we tracked the down time of TV service in my local area in the past week (because of storms). The table below shows the total hours of down time and the number of hours that the service was trackeded.
Service Provider
Infinity
Cabletron
Direct TV
Hours tracked
100
125
85
Hours down
3
5
11
Let A be “the service provider being tracked was Infinity”. Let B be “the service provider being tracked was Cabletron”. Let C be “the service provider being tracked was DirectTV”. Let X be the event “the computer was down”.
a)Find P(A) (b) Find P(B) (c) Find P(C) (d) Find P(A|X) (e) Find P(B|X)
f) Find P(C|X) (g) Find P(X|A) (h) Find P(X|B) (g) Find P(X|C) (h) Find P(X)
Service Provider
Infinity
Cabletron
Direct TV
Hours tracked
100
125
85
Hours down
3
5
11
Explanation / Answer
a) P(A)=100/(100+125+85)=100/310=0.32
b) P(B)=125/310=0.40
c) P(C)=85/310=0.27
d) P(X)=19/(19+100+125+85)=0.06
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