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vodomira [7]
3 years ago
15

Probability The average time between incoming calls at a switchboard is 3 minutes.if a call has just come in,the probability tha

t the next call come within the next t minutes.is p(t) = 1 -e - t/3 Find the probability of each situation.
(a) A call in comes within 1/2 minutes.
(b) A call in comes within 2 minutes.
(c) A call in comes within 5 minutes.
Mathematics
1 answer:
Stels [109]3 years ago
6 0

Answer:

a) 0.1535

b) 0.4866

c) 0.8111

Step-by-step explanation:

The probability that the next call come within the next t minutes is:

  • p(t) = 1 -e ^{- t/3}

According to this model,

a) the probability that a call in comes within 1/2 minutes is p(t) = 1 -e ^{- (1/2)/3} =0.1535

b) the probability that a call in comes within 2 minutes is  p(t) = 1 -e ^{-2/3} =0.4866

c) the probability that a call in comes within 5 minutes is  p(t) = 1 -e ^{-5/3} =0.8111

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