X ̴ exp (λ = 1 / 10 = 0.1 )
P ( X < x ) = 1 - e(-λ* x)
Part a)
P ( X < 0.1 ) =
= 0.0100
Part b)
P ( X > 0.1 ) =
= 0.9900
Part c)
P ( 0.1 < X < 0.2 ) = P ( X < 0.2 ) - P ( X < 0.1
)
P ( X < 0.1 ) =
= 0.01
P ( X < 0.2 ) =
= 0.0198
P ( 0.1 < X < 0.2 ) = 0.0198 - 0.01
P ( 0.1 < X < 0.2 ) = 0.0099
Part d)
less than x = 0.01 or greater than x = 0.2
P ( 0.1 < X) or P ( X > 0.2 ) = 1 - P ( 0.1 < X < 0.2 ) = 1 - 0.0099 = 0.9901
Given an exponential distribution with 2 = 10, what is the probability that the arrival time...
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