?Suppose that \(X_{i}\) has a normal distribution with mean \(\mu_{i}\) and variance
Chapter 5, Problem 5.8.10(choose chapter or problem)
Suppose that \(X_{i}\) has a normal distribution with mean \(\mu_{i}\) and variance \(\sigma_{i}^{2}\), i=1,2. Let \(X_{1}\) and \(X_{2}\) be independent.
(a) Find the moment-generating function of \(Y=X_{1}+X_{2}\).
(b) What is the distribution of the random variable Y ?
Text Transcription:
X_i
mu_i
sigma_i^2
X_1
X_2
Y=X_1+X_2
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