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

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

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

satellite73
 2 years 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
 2 years 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
 2 years 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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