Show that the median of ? lies between ? = 2.6 and ? = 2.7.Find the mean and standard deviation of ?Compute ?(? + 2)por2. The probability density function for the continuous random variableX is given by:(A(x²ЗА2x + 21) 0

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Answered: The probability density function for…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.CR: Chapter 13 Review

Problem 3CR

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Show that the median of ? lies between ? = 2.6 and ? = 2.7.

Find the mean and standard deviation of ?

Compute ?(? + 2)por2.

The probability density function for the continuous random variable
X is given by:
(A(x²
ЗА
2x + 21) 0<x < 3
3 < x < 4
otherwise
f(x) =
Where A is a constant

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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