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## Main Question or Discussion Point

I have an exercise that I do not understand how to solve (statistics and probability is really my weaker part...). The exercise goes as follow:

In a certain population, the random variable Y has variance equal to 490. Two independent random samples, each of size 20, are drawn. The first sample is used as the predictor of the second sample mean.

a) Calculate the expectation, expected square end variance of the prediction error.

b) Approximate the probability that the prediction error is less than 14 in absolute value.

any clues how I can start?

In a certain population, the random variable Y has variance equal to 490. Two independent random samples, each of size 20, are drawn. The first sample is used as the predictor of the second sample mean.

a) Calculate the expectation, expected square end variance of the prediction error.

b) Approximate the probability that the prediction error is less than 14 in absolute value.

any clues how I can start?