Independent Random Samples

Let X and Y be the respective means of two independent random samples, each of size 4, from the two respective normal distributions N( 10, 9) and N(3, 4). Compute Pr (X > 2 Y).

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Solution. First, we know that follows a normal distribution with mean 10 and standard deviation (As the population of X follows N(10,9): a normal distribution with mean 10 and standard …

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