poisson distribution

2011-04-03 6:47 pm
Let X~Po(5) and k be a non-negative integer. If P(X >= k ) >0.7, find the greatest value of k.

回答 (1)

2011-04-03 7:31 pm
✔ 最佳答案
P(X = 0) = e^(-5) = 0.006738

P(X = 1) = 5e^(-5) = 0.0337

P(X = 2) = 25e^(-5)/2 = 0.0842

P(X = 3) = 125e^(-5)/6 = 0.1404

P(X = 4) = 625e^(-5)/24 = 0.1755

P(X = 5) = 3125e^(-5)/120 = 0.1755

P(X = 6) = (5^6)e^(-5)/720 = 0.1462

P(X <= 3) = 0.265038

So, the greatest value of k is 4



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