1. Suppose X-Bi(n,p). Derive the distribution of Y = n-X using the mgf or cdf techniques. 2. Let X-Beta (a = 1, b = 2). Find the pdf of Y = [X -0.51.

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II.
Answer the following problems. Show your solution. Write the formulas used in solving the problems:
1. Suppose X-Bi(n,p). Derive the distribution of Y = n-X using the mgf or cdf techniques.
2. Let X-Beta (a = 1, b = 2). Find the pdf of Y = IX -0.51.
3. Suppose X-N(0,1). Find the pdf of Y = ex.
4. Let X be a random variable with a density function given by
fx(x) = (x²4-1,1)(x).
Find the density function of W = 3-X using the cdf technique.
Transcribed Image Text:II. Answer the following problems. Show your solution. Write the formulas used in solving the problems: 1. Suppose X-Bi(n,p). Derive the distribution of Y = n-X using the mgf or cdf techniques. 2. Let X-Beta (a = 1, b = 2). Find the pdf of Y = IX -0.51. 3. Suppose X-N(0,1). Find the pdf of Y = ex. 4. Let X be a random variable with a density function given by fx(x) = (x²4-1,1)(x). Find the density function of W = 3-X using the cdf technique.
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