P1. (probability basics, 10pts, 2pts each) Write down true (T) or false (F) for

Question

P1. (probability basics, 10pts, 2pts each) Write down true (T) or false (F) for the following statements a For Gaussian(normal) distribution, the total area under the curve is always 1: b) The smaller o(standard deviation) is, the smoother bell-shape Gaussian curve we have: c) Given a PDE a confidence interval represents the area under the curve: d) If a PDF has a large Sx(sample standard deviation), it means the precision uncertainty is small f) For a discrete random variable, a PMF represents the expected frequency:

Explanation / Answer

P1. a) True, total area under the curve is 1

b) No, the smaller the standard deviation, it exhibits less spread and is taller or skewed

c) Yes, confidence interval represent area under curve

d) Yes, the higher standard deviation implies small precision level

e) Yes, PMF represent expected frequency

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