chapter 6 solutions

chapter 6 solutions - x p(x) x*p(x) (x-mu)^2*p(x) 0.002533...

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Homework solutions Chapter 6 18a The mean of a binomial distribution with 15 trials and a probability of success of .6 is from formula 6-4 on page 191 9 18b The probability of exactly ten students correctly identifying the drink is from formula 603 on page 190 0.1859378 18c Having at least ten students correctly identify the drink is the opposite of at most nine students identifying the drink, so by the complement rule (note the use of the "cumulative" setting as true in BINOMDIST) 0.4032156 38a continuous b discrete c discrete d discrete e continuous f discrete g continuous 44 Use formulas 6-1 and 6-2 on page185 number of cakes sold in a day, x probability, p(x) x*p(x) deviation x-mu squared deviation p*squared deviation 12 0.25 3 -1.2 1.44 0.36 13 0.4 5.2 -0.2 0.04 0.016 14 0.25 3.5 0.8 0.64 0.16 15 0.1 1.5 1.8 3.24 0.324 sum of this sum of this column is the mean column is variance 13.2 0.86 square root of variance is standard deviation 0.9273618 54a This is a binomial distribution with ten trials and a probability of success .45
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Unformatted text preview: x p(x) x*p(x) (x-mu)^2*p(x) 0.002533 0 0.0512923 1 0.0207241 0.0207241 0.2538708 2 0.0763026 0.1526051 0.4768909 3 0.1664783 0.4994349 0.3745762 4 0.2383666 0.9534666 0.0595917 5 0.2340327 1.1701635 0.0585082 6 0.1595678 0.9574065 0.3590274 7 0.0746031 0.5222217 0.4662694 8 0.0228896 0.1831167 0.2803975 9 0.0041617 0.0374557 0.0842753 10 0.0003405 0.0034051 0.0103003 sums 1 4.5 2.475 54b The mean is (from the third column above) or from formula 6-4 is 4.5 The variance is (from the fourth column above) or from formula 65 is 2.475 The standard deviation is the square root of the variance, giving 1.5732133 54c This is the probability of four successes out of ten, which by formula 6-3 is 0.2383666 54d This is the probability of zero through four success out of ten, which is a sum of five terms from formula 6-3 (or one appliation of setting the cumulative parameter to true) 0.5044046...
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This note was uploaded on 12/17/2011 for the course MBA 500 taught by Professor Dr.jones during the Spring '11 term at Morehead State.

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