Question: MATH STATISTICS 2. Let X ~ U(0, 1) and Y := -X log X. Find E(Y) for r 2 1Question 2 X N V (

MATH STATISTICS

MATH STATISTICS 2. Let X ~ U(0, 1) and Y := -Xlog X. Find E(Y") for r 2 1Question 2 X N V

2. Let X ~ U(0, 1) and Y := -X log X. Find E(Y") for r 2 1Question 2 X N V ( o, 1 ) X follows Uniform distribution with a = 0 and b = 1 E( x ) = atb - 0+ 1 2 2 - = 2 Then , the Cumulative density Function is : if x so if O

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