STAT 1102- Final Exam Guide - Comprehensive Notes for the exam ( 122 pages long!)

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Exponential functions (1+1/n)(cid:32)n(cid:32) (cid:32)(cid:32)(cid:32) (cid:32)as(cid:32) (cid:32)n(cid:32) (cid:32)increases(cid:32) (cid:32)(cid:32) (cid:32)(cid:32) (cid:32)(cid:32) (cid:32)(cid:32) (cid:32)e(cid:32) (cid:32) (cid:32) (cid:32)2. 71828 . Between 5pm and 6pm, cars arrive at mcdonald"s drive-thru at the rate of 20 cars per hour. The symbol r! with r positive integer (reads r factorial ) meaning the product of the first r positive integers. Determine the probability that x = 15 cars arrives between 5pm and 6pm. An important function for probability distribution, the normal distribution density function. E. g. for product rule, quotient rule, and power property. Examples: given log(cid:884)=. (cid:885)(cid:882)(cid:883) and log(cid:885)=. (cid:886)(cid:889)(cid:889: log(cid:888) Theorem 6: for any positive number , divided by the function. or. Theorem 7: the derivative of the natural logarithm of a function is derivative of the function. Solution: (cid:1877)=ln(cid:4666)(cid:1876)(cid:2873) (cid:884)(cid:4667) ln(cid:1876) use property 2 (cid:1876)(cid:2873) (cid:884) (cid:883)(cid:1876) (cid:1877) = (cid:887)(cid:1876)(cid:2872: (cid:1877)=ln(cid:4672)(cid:3118) (cid:2877)+(cid:2869) (cid:2875)(cid:3118) (cid:2873)(cid:4673) 3. 6: the multiplicative rule and independnet events (cid:1007). (cid:1011): bayes"s rule.