Homework SourseA telecommunications company classifies transmission of call
A telecommunications company classifies transmission of calls by their duration as brief ( B - less than 3 minutes) or long ( B\' = at least 3 minutes long) and by their ( V - voice, D = Data, or F = Fax). From an extensive database the comapny has come up with the following probailites for the category of a random transmission call.
Use the given info above and represent the following parts with an appropriate probability statment and find the following probabilities that the next call is...
a. ... A voice call
b. ... is brief
Inerpret waht the folloiwing probability statements mean in words and find the value.
| Voice(V) | Data(D) | Fax(F) | |
| Brief(B) | .25 | .10 | .07 |
| Long(B\') | .30 | .15 | .13 |
Solution
a)
P(V) = 0.25 + 0.30 = 0.55 [answer]
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b)
P(B) = 0.25 + 0.10 + 0.07 = 0.42 [answer]
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c)
P(V n B\') = the probability that the call is a voice call and is long = 0.30 [answer]
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d)
P(D U B) = the probability that a call is a data call or is a brief call = 0.25 + 0.10 + 0.07 + 0.15 = 0.57 [answer]
