Mathematics, 12.03.2020 03:42 jwagner2277
Suppose that the amount of time T a customer spends in a bank is exponentially distributed with an average of 10 minutes. What is the probability that a customer will spend more than 15 minutes total in the bank, given that the customer has already waited over 10 minutes
Answers: 2
![\int\limits^{\infty}_{5} {f(x)} \, dx =\int\limits^{\infty}_{5} {\lambda e^{-\lambda x}} \, dx\\=\int\limits^{\infty}_{5} {0.10 e^{-0.10 x}} \, dx\\=0.10\int\limits^{\infty}_{5} {e^{-0.10 x}} \, dx\\=0.10|\frac{e^{-0.10 x}}{-0.10}|^{\infty}_{5}\\=[-e^{-0.10 \times \infty}+e^{-0.10 \times 5}]\\=0.6065](/tpl/images/0544/3300/7687f.png)
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Suppose that the amount of time T a customer spends in a bank is exponentially distributed with an a...
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