MATH 251, Probability and Statistics I, Fall 2001, Wed. Oct. 31, Day 26

Quiz Friday: Finding mean, s.d., variance for discrete distribution.  Algebra of means and variances.
Continuing Binomial:
» Rule of thumb for using Binomial with SRS from finite population.  Pop must be at least 10 times sample size.
» Explaining the formula, reviewing the mean and s.d. formulas.
» Proportion X/n : mean and s.d.
» Normal approximation.  Rule of thumb: np and n(1-p) > 10

HW Day 26,
 Read Sec. 5.1.  pp. 372-379, then the binomial formula pp. 387-9, then mean and s.d. pp. 380. Memorize the binomial formula and the mean and s.d. for a binomial distribution. Then pp. 381-385 (proportions and normal approx.) Either memorize or be able to quickly derive the mean and s.d. for the sample proportion.  Read "continuity correction" pp 386-87, but I won't require it.
Next, 5.2
Hand in: Note: Underlined problems have special relevance to the statistical ideas we will be developing in chapter 6 and 7 (also 5.12, last asst.)

5.17 lie detector--prob, mean, s.d.
5.23 binomial coefficient facts
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5.4 approx. OK? (rules of thumb)

Use Normal approximation for the following; use proportion or count, whichever is easiest in the problem (you may have to restate various parts of the problem to get things consistent.) 
5.16 who drives?
5.7  90% shipped on time?
5.9 plus or minus 3%
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5.10 what n to change s.d.? (in a proportion)

 Read, discuss 
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5.6 Nutritious food
5.19 Underrepresent?		 Optional 
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5.8 plus or minus 2%
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