a. The probability density function for X is f(x) = e=x , x > 0, zero, e.w. Find the probability density function of Y = (Use CDF Technique) b. Suppose that X1 ~b(5,) and X2~b(7,) are independent...

a. The probability density function for X is<br>f(x) = e=x , x > 0, zero, e.w.<br>Find the probability density function of<br>Y =<br>(Use CDF Technique)<br>b.<br>Suppose that<br>X1 ~b(5,)<br>and<br>X2~b(7,)<br>are independent random variables. Let<br>Z = X1 + X2 + 7,<br>show that<br>Z~b(12,).<br>(Use MGF method)<br>

Extracted text: a. The probability density function for X is f(x) = e=x , x > 0, zero, e.w. Find the probability density function of Y = (Use CDF Technique) b. Suppose that X1 ~b(5,) and X2~b(7,) are independent random variables. Let Z = X1 + X2 + 7, show that Z~b(12,). (Use MGF method)

Jun 07, 2022

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a. The probability density function for X is f(x) = e=x , x > 0, zero, e.w. Find the probability density function of Y = (Use CDF Technique) b. Suppose that X1 ~b(5,) and X2~b(7,) are independent...

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