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Posted on Jun 23, 2024

If X is a continuous random variable with probability density function: f ( x ) = { 4 3 x ( 2 x ) 0

If X is a continuous random variable with probability density function:

f(x)={43x(2x)00<x<2otherwise

and we have 150 independent observations from this distribution. What is the approximate probability that their average (sample mean) is between 0.92 and 1.08. Please round to 3 decimals

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