Author Question: The amount of time a person waits for a cab in Manhattan is uniformly distributed. If the maximum ... (Read 82 times)

Drewster127 · **on:** Feb 26, 2023

Question 1

Suppose the cumulative distribution function (CDF) of continuous random variableXis defined as follows:

_{\(\style{font-family:Times New Roman;}{F(x)=\text{P}(X\leq x)=1-\frac1{3^x}}\)}

wherex≥ 0. What is P(X> 1.25)?

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0.7467

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0.5833

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0.2533

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0.7333

Question 2

The amount of time a person waits for a cab in Manhattan is uniformly distributed. If the maximum time a person waits for a cab in Manhattan is 5 minutes and the minimum is 30 seconds, what is the average wait time for a cab in Manhattan?

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2.75 minutes

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17.5 minutes

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2.25 minutes

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2.50 minutes

gwisel · **Reply #1 on:** Feb 26, 2023

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