STAT 270 Lecture Notes - Lecture 23: Gamma Function, Standard Deviation, Jargon
21 Feb 2019
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2 november 2015: i made normal approximations to binomials, introduced the exponen- tial density, computed its mean and standard deviation and de ned the. Gamma function: we are nished up to slide 62 of continuous distributions , problems from text: 5. 19, 5. 20. At my stat 101 page look for the 2004. Midterm problem 5 and the midterm solutions problem 3: we have covered up to page 95 in the text, handwritten slides, key jargon, ideas: If x has a binomial(n, p) distribution then we approximate by converting k1 = 1/2 and k2 + 1/2 to standard units. We use = np and =pnp(1 p) to convert. The 1/2s come from recognizing where the bars end in a probability histogram. The exponential density with rate is f (x) =( e x x 0 x < 0. If x has an exponential( ) distribution then and. For > 0 we de ned the gamma function, , by.
