Solved: Let X be a continuous rv with cdf [This type of

Chapter 4, Problem 19E

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QUESTION:

Problem 19E

Let X 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?

Questions & Answers

QUESTION:

Problem 19E

Let X 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?

ANSWER:

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

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