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miss_karina

  • 3 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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  1. anonymous
    • 3 years ago
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    thats what it says, thats what i would do

  2. anonymous
    • 3 years ago
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    i guess you have to change 51 minutes to a decimal first

  3. anonymous
    • 3 years ago
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    oh no you don't, it says .51 minutes, so just plug it in

  4. anonymous
    • 3 years ago
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    i get about .107 seems reasonable https://www.wolframalpha.com/input/?i=1+%E2%88%92e^-%28.51%2F4.5%29

  5. anonymous
    • 3 years ago
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    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

  6. miss_karina
    • 3 years ago
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    yes that is what I got! .107 I wasn't sure but thank you so much for your explanation

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