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mariomintchev Group Title

I need help with problem 4. I'm supposed to use the Poisson Distribution, but I'm confused because part A says 6 or MORE. (I obviously can't go to infinity, so what do I do? If it was 6 or LESS, I would plug in 6, 5, 4, 3, 2, 1... in for P(x).)

  • one year ago
  • one year ago

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  1. mariomintchev Group Title
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    • one year ago
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  2. mariomintchev Group Title
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    @satellite73 @phi @LoveYou*69 @karatechopper @jim_thompson5910 @Jemurray3 @Hero @AccessDenied

    • one year ago
  3. Jemurray3 Group Title
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    So you could find the probability of five or less, right?

    • one year ago
  4. Jemurray3 Group Title
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    Consider the fact that the only two possible outcomes are that it occurs five or fewer times, or six or more times.

    • one year ago
  5. mariomintchev Group Title
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    yes, because it's not continuous. it's a discrete number. i have an example like that in my notes.

    • one year ago
  6. mariomintchev Group Title
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    "Consider the fact that the only two possible outcomes are that it occurs five or fewer times, or six or more times." Ok, continue...

    • one year ago
  7. Jemurray3 Group Title
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    haha well, that was the main hint... If there are only two possible outcomes, and you calculate the probability for one, then you immediately know the probability of the other, right?

    • one year ago
  8. mariomintchev Group Title
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    because you can do 1-the other

    • one year ago
  9. mariomintchev Group Title
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    so should i find plug in 6, 5, 4, 3, 2, 1 into the equation and then subtract that answer from 1??

    • one year ago
  10. Jemurray3 Group Title
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    Good idea. Though probably only from 5 down, if you want to include 6 in "6 or more"

    • one year ago
  11. mariomintchev Group Title
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    so i should do: p(5)= e^(-2.5) * 2.5^(5) / 5! + p(4)= e^(-2.5) * 2.5^(4) / 4! + ........

    • one year ago
  12. phi Group Title
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    I would calculate the prob of 0,1,2,3,4 or 5 events then 1 - sum = pr(k≥6)

    • one year ago
  13. mariomintchev Group Title
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    so what i said above ^^^ ???

    • one year ago
  14. phi Group Title
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    you left out 0

    • one year ago
  15. mariomintchev Group Title
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    yeah and included 6. i needa include 0 and exclude 6. everything else seems good though, right?

    • one year ago
  16. phi Group Title
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    yes

    • one year ago
  17. mariomintchev Group Title
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    ok, and for part b do i plug in 15 through 20 for p(x) and then add them up?

    • one year ago
  18. phi Group Title
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    with lambda= 2.5*8 =20

    • one year ago
  19. mariomintchev Group Title
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    wait, what? do i place that 20 before e and before the ^ (-x) ??

    • one year ago
  20. mariomintchev Group Title
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    \[(\lambda) ^ - \lambda x) \

    • one year ago
  21. mariomintchev Group Title
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    i'm gonna log off but please continue helping (with #s 5-8 on the wkst) everyone!! i'll be back tomorrow to continue this madness. haha

    • one year ago
  22. mariomintchev Group Title
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    @phi @amistre64 can you clarify what i do with the lambda?

    • one year ago
  23. phi Group Title
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    for part b \[ Pr(k)= \frac{\lambda^k e^{-\lambda}}{k!} \] λ= 20, the number of events in 8 hours

    • one year ago
  24. phi Group Title
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    If I did it right, I got Pr(15 to 20) = 0.4542

    • one year ago
  25. mariomintchev Group Title
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    ok what formula is that? i thought you said we use the poisson one for #4?

    • one year ago
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