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Let X be a continuous rv with cdf 0 x 0 F(x) 4 x 1 ln 4 x

Probability and Statistics for Engineering and the Sciences (with Student Suite Online) | 7th Edition | ISBN: 9780495382171 | Authors: Jay L. Devore ISBN: 9780495382171 196

Solution for problem 4.27 Chapter 4

Probability and Statistics for Engineering and the Sciences (with Student Suite Online) | 7th Edition

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Probability and Statistics for Engineering and the Sciences (with Student Suite Online) | 7th Edition | ISBN: 9780495382171 | Authors: Jay L. Devore

Probability and Statistics for Engineering and the Sciences (with Student Suite Online) | 7th Edition

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Problem 4.27

Let X be a continuous rv with cdf 0 x 0 F(x) 4 x 1 ln 4 x 0 x 4 1 x 4 [This type of cdf is suggested in the article Variability in Measured Bedload-Transport Rates (Water Resources Bull., 1985: 3948) 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:
Step 1 of 3

3.1 Ans12) (a) Mean = Sum of all values divided by the number of values. Mean = ∑ x /n = 23/5 = 4.6 In order to calculate the median, we arrange the set of numbers in increasing order: 2 2 3 6 10. As the number of observations are odd, therefore median is the third value which is 3. Median = 3. Mode is the number that occurs most frequently in the given data. In this case, 2 occurs most frequently. So, mode is 2. (b)As per the question, we add 5 to each of the data values. New data set: 7 7 8 11 15. Mean = ∑ x /n = 48/5 = 9.6 In order to calculate the median, we arrange the set of numbers in increasing order: 7 7 8 11 15. As the number of observations are odd, median is the middle value which is the third value in this case. Median = 8. Mode is the number that occurs mos

Step 2 of 3

Chapter 4, Problem 4.27 is Solved
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Textbook: Probability and Statistics for Engineering and the Sciences (with Student Suite Online)
Edition: 7
Author: Jay L. Devore
ISBN: 9780495382171

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Let X be a continuous rv with cdf 0 x 0 F(x) 4 x 1 ln 4 x