A telecommunications company classifies transmission of calls by their duration
ID: 3439845 • Letter: A
Question
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 .13Explanation / Answer
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]
***************
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]
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