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In: Statistics and Probability

Let U be a continuous uniform variable over the interval [0, 1]. What is the probability...

Let U be a continuous uniform variable over the interval [0, 1]. What is the probability that U falls within kσ of its mean for k = 1, 2, 3?

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Expert Solution

Answer:-

Given that:-

Let U be a continuous uniform variable over the interval [0, 1].

What is the probability that U falls within kσ of its mean for k = 1, 2, 3?

If

Here

ln by chebychev Inequaility

  Here,

If K = 1 then

  

If K=2 , then

  

  


K=3

  


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