CHP 7-8-9 Stats - C HP 7 Continuous p resence of gaps in...

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CHP 7 Continuous- presence of gaps in the possible values for a discrete random variable. Any value over a certain rank is possible. Are NOT concerned with specific values of X, but rather the possibilities over a range of values such as greater than 65 , less than 20 , etc. Curves have specific shapes of: Uniform- histogram of sample data is nearly flat Normal – symmetric with decreasing tails at each end, bell-shaped, “tails die out quickly” Exponential – steadily decreases from left to right Symbols: Mean ( sample )= Stan deviation ( sample ) = s Mean ( population )= μ Stan deviation ( population )= Any continuous random variable, total area under curve equals =1. In Uniform and normal curves mean and median should be nearly equal. In exponential, median should be less than the mean. A probability is represented by an area under the corresponding normal curve. Probability of Z = any value under the standard normal curve is always 0.
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