The number of babies in a litter of rabbits is approximately Poisson distribution with mean 6. Litters can occur once per month for a 9 month period (3 months infertile). What is the standard deviation of the number of babies in one litter? What is the probability of a litter with exactly one rabbit? What is the approximate probability that over a 9 month period, a rabbit will have more than 65 babies (use the Central Limit Theorem, continuity correction is optional)? Incidentally, the plot at right shows the exact Poissondistribution you’ll be using, and you’ll note it looks quite a bit like some other distribution . .

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The number of babies in a litter of rabbits is approximately Poisson distribution with mean 6. Litters can occur once per month for a 9 month period (3 months infertile).

  1. What is the standard deviation of the number of babies in one litter?

  2. What is the probability of a litter with exactly one rabbit?

  3. What is the approximate probability that over a 9 month period, a rabbit will have more than 65 babies (use the Central Limit Theorem, continuity correction is optional)? Incidentally, the plot at right shows the exact Poissondistribution you’ll be using, and you’ll note it looks quite a bit like some other distribution . .

Distribution Plot
Poisson, Mean=54
0.06 -
0.05
0.04 -
0.03
0.02
0.01
0.00
30
40
50
60
70
80
Probability
Transcribed Image Text:Distribution Plot Poisson, Mean=54 0.06 - 0.05 0.04 - 0.03 0.02 0.01 0.00 30 40 50 60 70 80 Probability
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