a)
probability(exactly 6) = | P(X=6)= | {e-λ*λx/x!}= | 0.122 |
probability(at least 6) = | P(X>=6)= | 1-P(X<=5)= | 1-∑x=0x-1 {e-λ*λx/x!}= | 0.809 |
probability(at least 14) = | P(X>=14)= | 1-P(X<=13)= | 1-∑x=0x-1 {e-λ*λx/x!}= | 0.034 |
b)expcted value =8*75/60=10
standard deviation =sqrt(10) =3.162
c)
probability (at least 25)= | P(X>=25)= | 1-P(X<=24)= | 1-∑x=0x-1 {e-λ*λx/x!}= | 0.157 |
probability (at most 18)= | P(X<=18)= | ∑x=0x {e-λ*λx/x!}= | 0.381 |
Suppose small aircraft arrive at a certain airport according to a Poisson process with rate α...
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