# Let be a continuous rv with cdf [This type of cdf is

## Problem 19E Chapter 4

Probability and Statistics for Engineering and the Sciences | 9th Edition

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Probability and Statistics for Engineering and the Sciences | 9th Edition

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Problem 19E

Let ? ?be a continuous rv with cdf [This type of cdf is suggested in the article “Variability in Measured Bedload-Transport Rates” (?Water Resources Bull., ?1985: 39–48) as a model for a certain hydrologic variable.] What is a. P(X ? 1)? b. P((1 ? X ? 3)? c.The pdf of X?

Step-by-Step Solution:

Answer Step 1 of 5 By using given cdf the respective probabilities are x 0 1 2 3 4 p(x) 0 0.596574 0.25 0.119188 0.034238 Step 2 of 5 a) P(X 1)=P(0)+P(1) =0+0.596574 =0.596574 Step 3 of 5 b) P((1 X 3)=P(1)+P(2)+P(3) =0.596574+0.25+0.119188 =0.965762

Step 4 of 5

Step 5 of 5

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