MGCR 271 Chapter Notes - Chapter 5: Binomial Distribution, Random Variable, Central Limit Theorem

• School: McGill University
• Department: Management Core
• Course: MGCR 271
• Professor: Glenn Zabowski

Document Summary

There are (cid:373)a(cid:374)(cid:455) spe(cid:272)i (cid:272) pro(cid:271)a(cid:271)ilit(cid:455) (cid:373)odels for spe(cid:272)i (cid:272) situatio(cid:374)s. Use venn diagrams to picture relationships among several events. Use the ge(cid:374)eral additio(cid:374) rule to (cid:374)d pro(cid:271)a(cid:271)ilities that i(cid:374)(cid:448)ol(cid:448)e o(cid:448)erlappi(cid:374)g e(cid:448)e(cid:374)ts. Judge when it is reasonable to assume independence as part of a probability model. Use the multiplication rule for i(cid:374)depe(cid:374)de(cid:374)t e(cid:448)e(cid:374)ts to (cid:374)d the pro(cid:271)a(cid:271)ilit(cid:455) that all of se(cid:448)eral independent events occur. Use the multiplication rule for independent events in combination with other probability rules to (cid:374)d the pro(cid:271)a(cid:271)ilities of (cid:272)o(cid:373)ple(cid:454) e(cid:448)e(cid:374)ts. Identify two events required from verbal description of conditional probability. Find conditional probabilities for individuals chosen at random from two-way table of counts of outcomes. Use the general (cid:373)ultipli(cid:272)atio(cid:374) rule to (cid:374)d (cid:4666)(cid:1827) and (cid:1828)(cid:4667) from (cid:4666)(cid:1827)(cid:4667) and the conditional probability (cid:4666)(cid:1828) | (cid:1827)(cid:4667). Use a tree diagram to organize several-stage probability models. Use ba(cid:455)es"s rule to (cid:272)al(cid:272)ulate (cid:272)o(cid:374)ditio(cid:374)al pro(cid:271)a(cid:271)ilities given (cid:862)re(cid:448)erse(cid:863) (cid:272)o(cid:374)ditio(cid:374)al pro(cid:271)abilities.