STAT 1053 Lecture Notes - Lecture 11: Statistic, Binomial Distribution, Standard Deviation
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Overview of what we learned about the normal: If x is a normal rv with mean and sd , then (x - )/ is standard normal and can be denoted by z, i. e. z= (x - )/ is a standard normal random variable (rv). (p 244) Important: get into the habit of sketching normal distributions. We learned to calculate probabilities by standardizing and using the standard normal table. We also learned to solve the inverse problem for a normal with mean and sd . Given a probability, you had to find the corresponding value of the variable. When you have a binomial with large n, probability calculations can be long and difficult. Suppose that 20% of households nationwide tune in to a show. A random sample of 1200 households is selected. This is a sum of 951 terms, each of which requires a calculation of. N choose r , where n=1200. (even if you take the complement, 1-
