MATH 141 Lecture 12: Statistics 10/25/2016

• School: Bloomsburg University
• Department: Mathematics
• Course: MATH 141
• Professor: Zhang

Document Summary

Two variables x and y can be expressed as: Here a, b are both given values: (cid:1851)=(cid:887)(cid:1850)+(cid:885) (cid:1851)=(cid:1853) (cid:1850)+(cid:1854) Whenever x increases 1 unit, what happens to y. Find the linear relationship among following expressions: (cid:1851)=(cid:885)(cid:1850)+(cid:887, (cid:1852)=(cid:884)(cid:1850)2 (cid:883, (cid:1849)=5+(cid:885) d. (cid:1827)=(cid:886)(cid:1828) (cid:888) Two random variables x and y will share the same distribution (rule) for each possible values of. X (y), i. e. the linear transformation does not change the distribution. Assume two random variables: x and y satisfy (cid:1851)=(cid:1853)(cid:1850)+(cid:1854) (cid:4666)(cid:1851)(cid:4667)=(cid:1853) (cid:4666)(cid:1850)(cid:4667)+(cid:1854) (cid:3026)2=(cid:1853)2(cid:3025)2. The variance of y can be calculated as following. The expectation of y can be derived directly from the expectation of x. A used-car salesman sells 0, 1, 2, 3, 4, 5, or 6 cars each week with equal probability. Find the expectation, variance, and standard deviation of the number of cars sold by the salesman each week. If the co(cid:373)(cid:373)issio(cid:374) o(cid:374) each car sold are 5(cid:1004), (cid:374)d the expectatio(cid:374), varia(cid:374)ce, a(cid:374)d sta(cid:374)dard deviation of weekly commission.