3 years ago

Pls help is it A. B. C. D.

Mathematics

1 answer:

Ivenika [448]3 years ago

7 0

Answer:

Step-by-step explanation:

Hope I was able to help!! :)

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Step-by-step explanation:

The random variable X is defined as the waiting time to be seated at a restaurant during the evening.

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The random variable X follows an Exponential distribution with parameter $\lambda=\frac{1}{\beta}=\frac{1}{19}$ .

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$P(X>14)=\int\limits^{\infty}_{14} {\lambda e^{-\lambda x}} \, dx=\lambda \int\limits^{\infty}_{14} {e^{-\lambda x}} \, dx\\=\lambda |\frac{e^{-\lambda x}}{-\lambda}|^{\infty}_{14}=e^{-\frac{1}{19} \times14}-0\\=0.4786$

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