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The average time between incoming calls at a
switchboard is 4.5 minutes. The probability of
waiting less than t minutes for next incoming
call is approximated by the model
F(t) = 1 −e^t/4.5
If a call has just come in, ﬁnd the probability
that the next call will come within a) .51minutes
So do I just plug in .51 minutes in to t? If I do so I get a decimal and it doesn't seem right. Please help explain this.
 one year ago
 one year ago
The average time between incoming calls at a switchboard is 4.5 minutes. The probability of waiting less than t minutes for next incoming call is approximated by the model F(t) = 1 −e^t/4.5 If a call has just come in, ﬁnd the probability that the next call will come within a) .51minutes So do I just plug in .51 minutes in to t? If I do so I get a decimal and it doesn't seem right. Please help explain this.
 one year ago
 one year ago

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satellite73Best ResponseYou've already chosen the best response.1
thats what it says, thats what i would do
 one year ago

satellite73Best ResponseYou've already chosen the best response.1
i guess you have to change 51 minutes to a decimal first
 one year ago

satellite73Best ResponseYou've already chosen the best response.1
oh no you don't, it says .51 minutes, so just plug it in
 one year ago

satellite73Best ResponseYou've already chosen the best response.1
i get about .107 seems reasonable https://www.wolframalpha.com/input/?i=1+%E2%88%92e^%28.51%2F4.5%29
 one year ago

satellite73Best ResponseYou've already chosen the best response.1
as long as you get a number between zero and 1 it is a probability, and you would imagine that this one would not be too large because the average is 4.5
 one year ago

miss_karinaBest ResponseYou've already chosen the best response.0
yes that is what I got! .107 I wasn't sure but thank you so much for your explanation
 one year ago
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