Advanced Math Find the final form of the median and range for uniform distribution (0,1) for order statistics.

geduiwelh 2020-12-31 Answered
Advanced Math
Find the final form of the median and range for uniform distribution (0,1) for order statistics.
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Expert Answer

escumantsu
Answered 2021-01-01 Author has 98 answers

Step 1-Introduction
It is required to find the median and range for uniform distribution (0, 1).
Hence, the uniform distribution is U(0,1) here and a=0,b=1.
The formulas for the median and range of the uniform distribution are as follows.
Median=a+b2
Range=ba
Step 2-Calculation
Here, a=0 and b=1.
The median will be equal to:
Median=a+b2
=0+12
=12 or 0.5
The range will be equal to:
Range =ba
=10
=1
Hence, the median and range for uniform distribution (0, 1) is 0.5 and 1 respectively.

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