a) Find the approximate probability P(X > 1.1) b) What is the approximate probability that X₁ + X₂ + +X196 >5.3

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Suppose X is a random variable with with expected value μ = 0 and standard deviation o = 4√5.
Let X1, X2, X196 be a random sample of 196 observations from the distribution of X.
Let X be the sample mean. Use R to determine the following:
a) Find the approximate probability P(X> 1.1) [
b) What is the approximate probability that X₁ + X₂ +
+X196 >5.3
Transcribed Image Text:Suppose X is a random variable with with expected value μ = 0 and standard deviation o = 4√5. Let X1, X2, X196 be a random sample of 196 observations from the distribution of X. Let X be the sample mean. Use R to determine the following: a) Find the approximate probability P(X> 1.1) [ b) What is the approximate probability that X₁ + X₂ + +X196 >5.3
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