The Average rate of Job submissions in a computer center is 2 per minute. It can be assumed that the number of submissions per minute has a poisson distribution, calculate the probability that;
1. More then two jobs arrive in one minute
2. At least 30 seconds will elapse between any two jobs
2007-01-23 23:11:26 · 2 answers · asked by Anarking 1 in Science & Mathematics ➔ Mathematics
POISSON DISTRIBUTION
P(X=x)=e^(-LAMBDA)][LAMBDA^x] / x!
LAMBDA = 2
P(X=x)=e^(-2.00)(2.00^x) / x!
x__P(X=x)_____F(x)___1 - F(x)
0_0.135335_0.135335_0.864665
1_0.270671_0.406006_0.593994
2_0.270671_0.676676_0.323324
1. Probability of more than two = .323324
2. ?
2007-01-23 23:59:59 · answer #1 · answered by fcas80 7 · 0⤊ 0⤋
1. 0.81, 2. .21 its all in the table, m=30 seconds range 0, +oo
2007-01-24 07:21:29 · answer #2 · answered by mathman241 6 · 0⤊ 0⤋