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1. In my office I have a bag of numbers that follow a normal distribution with variance 25. Unfortunately, I have forgotten what the mean

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1. In my office I have a bag of numbers that follow a normal distribution with variance 25. Unfortunately, I have forgotten what the mean of the distribution is. I took a sample of size n=25 and from that sample computed x=1. (a) What is the distribution of the RV X ? Explain. (b) Find the following probability. [Hint: Standardize X.] P(1.96

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