Help please! homework help?

2017-06-26 6:49 am
Given an exponential distribution with the rate = 30, what is the probability that the arrival time is between 0.1 and 0.2?

回答 (1)

2017-06-27 2:26 pm
✔ 最佳答案
P( 0.1 ≦ X ≦ 0.2 )
= ∫ 30*e^(-30x) dx , from x = 0.1 to x = 0.2
= [ - e^(-30x) ] , from x = 0.1 to x = 0.2
= - [ e^(-6) - e^(-3) ]
= e^(-3) - e^(-6)
≒ 0.0473

Ans: e^(-3) - e^(-6)
( ≒ 0.0473 )


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