# TTU MATH 3342 - MATH 3342 review chapters (2 pages)

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## MATH 3342 review chapters

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## MATH 3342 review chapters

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Lecture Notes

Pages:
2
School:
Texas Tech University
Course:
Math 3342 - Mathematical Statistics for Engineers and Scientists

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3342 Review Chapters 4 7 2 Terms and Representative Problems Chapter 4 law of large numbers random variable probability distribution 2 5 f x 0 Poisson distribution 54 57 mean and variance approximation to binomial 52 53 Poisson process 63 65 f x 1 allx discrete random variable continuous random variable probability histogram cumulative distribution function geometric distribution 60 62 mean and variance multinomial distribution 70 72 mean and variance binomial distribution 13 20 two outcomes per trial p success same for all trials fixed number n of trials trials are independent binomial distribution function b x n p 7 cumulative binomial distribution function B x n p symmetric positively skewed negatively skewed Chapter 5 hypergeometric distribution 22 27 sampling without replacement hypergeometric distribution function h x n a N mean 30 32 binomial 38 39 hypergeometric variance and standard deviation 30 32 binomial hypergeometric kth moment about the origin alternate formula for variance 31 33 Chebyschev s Theorem 44 45 probability density function 2 4 6 9 10 108 f x 0 f x dx 1 distribution function 5 kth moment about the origin mean variance and standard deviation 13 14 normal distribution 24 27 29 31 33 mean and variance standard normal distribution 19 21 112 113 Table 3 standardized random variable Z X normal approximation to binomial 35 39 continuity correction uniform distribution 46 110 log normal distribution 50 51 55 115 gamma distribution 54 gamma function functional equation x 1 x x exponential distribution 58 60 117 waiting time between successive arrivals beta distribution 64 65 Weibull distribution 68 69 121 t distribution 20 24 degrees of freedom Table 4 standard normal distribution approximation for tdistribution for n 30 Chapter 6 population finite infinite sample random sample finite population infinite population population parameters sample statistics sampling distribution of the variance chi square distribution 27 Table 5 F distribution Table 6

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