STA 205 Lecture 1: Packet 1-Normal Distributions

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In the space below, briefly define a normal distribution and draw several normal curves. A functionthatrepresents the distribution of many random variables asymmetrical bellshaped graph. A normal distribution is controlled by two features: Mean average standard devationlstd dev. lme. am mean standard derationt standard elevation. The ______________________________________ of the distribution controls how spread out the curve is, which in center of the distribution (see figure 1 below). turn controls its scale (see the figure 2 below). ame std. Red curve: same mean different spread diffetneffted geo daimfnfeqrnent. To help understand how normal distributions work, we can use the empirical rule (which is also referred to as the. 68-95-99. 7 rule i"ll let you figure out where this name comes from!). Example: last year, the opening price for one share of google stock has been approximately normally distributed with a mean price of . 45 and a standard deviation of . 31. Draw and label the normal distribution corresponding to opening prices.

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