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Suppose that a continuous random variable X is distributed normally w.pdf

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Suppose that a continuous random variable X is distributed normally with mean =40 and variance 2=144. Let {Xi}i=136 be a set of randomly chosen, independent and identically distributed observations from that population. Define T to be the sum total of those observations and X as the sample average of those observations so that: T=i=1nXlandX=nT a. State the distributions of the variables X,T and X as a conclusion of the Central limit Theorem. b. Calculate P(X<35) c. Calculate P(T2000) d. Calculate P(35.

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Suppose that a continuous random variable X is distributed normally with mean =40 and variance 2=144. Let {Xi}i=136 be a set of randomly chosen, independent and identically distributed observations from that population. Define T to be the sum total of those observations and X as the sample average of those observations so that: T=i=1nXlandX=nT a. State the distributions of the variables X,T and X as a conclusion of the Central limit Theorem. b. Calculate P(X<35) c. Calculate P(T2000) d. Calculate P(35

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Suppose that a continuous random variable X is distributed normally w.pdf

  • 1. Suppose that a continuous random variable X is distributed normally with mean =40 and variance 2=144. Let {Xi}i=136 be a set of randomly chosen, independent and identically distributed observations from that population. Define T to be the sum total of those observations and X as the sample average of those observations so that: T=i=1nXlandX=nT a. State the distributions of the variables X,T and X as a conclusion of the Central limit Theorem. b. Calculate P(X<35) c. Calculate P(T2000) d. Calculate P(35