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 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
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.

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satellite73
 one year ago
Best ResponseYou've already chosen the best response.1thats what it says, thats what i would do

satellite73
 one year ago
Best ResponseYou've already chosen the best response.1i guess you have to change 51 minutes to a decimal first

satellite73
 one year ago
Best ResponseYou've already chosen the best response.1oh no you don't, it says .51 minutes, so just plug it in

satellite73
 one year ago
Best ResponseYou've already chosen the best response.1i get about .107 seems reasonable https://www.wolframalpha.com/input/?i=1+%E2%88%92e^%28.51%2F4.5%29

satellite73
 one year ago
Best ResponseYou've already chosen the best response.1as 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

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