Re: [微積] 瑕積分一題
※ 引述《petodog (作夢高手)》之銘言：
: Suppose that a bank teller takes an exponentially distributed length of time
: with mean μ=2 minutes to serve each customer. If there is already one
: customer waiting in line, what is the probability that you will wait for more
: than 6 minutes?
: 不懂要怎麼列式
: 知道用exponential列，但怎麼跟機率扯上關係?
probability density = f(t) = Aexp(-t/2)
∞
1 = ∫f(t)dt = A2 => A = 1/2
0
假如前面一個人剛好這時被服務
則你要等超過6分鐘的機率
∞
= ∫f(t)dt = exp(-3)
6
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