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Let ? be a random variable with a PDF ?(?)= 1/(x+1) for ? ∈ (0, ?...

Let ? be a random variable with a PDF
?(?)= 1/(x+1) for ? ∈ (0, ? − 1). Answer the following questions

  1. (a) Find the CDF

  2. (b) Show that a random variable ? = ln(? + 1) has uniform ?(0,1) distribution. Hint: calculate the CDF of ?

Math   Statistics-And-Probability   
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TOPIC:Cdf and transformation of random variables using the cdf method.

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