1. solve the following: a. let a and b be events in a sample space s such that p(a) = 0.41, p(b) = 0.46 and p(a / b) = 0.14. find p(a | b). a) 0.3415 b) 0.0217 c) 0.8913 d) 0.1609 e) 0.3043 f) none of the above. b. let a and b be events in a sample space s such that p(a) = 13? 50 , p(b) = 49? 100 , and p(a ? b) = 1? 10 . find p(b | ac ). hint: draw a venn diagram to find p(b ⊃ a). a) 0.7959 b) 0.1351 c) 0.5270 d) 0.6622 e) 1.8846 f) none of the above. c. suppose that a and b are independent events. if p(a) = 3/10 and p(b) = 1/2 , find p(a / b). a) 0.15 b) 0.03 c) 1.00 d) 0.08 e) 0.05 f) none of the above.

Find the perimeter of the figure shown above. a. 50 cm c. 30 cm b. 64 cm d. 60 cm select the best answer from the choices provided a b c d

Translate this phrase into an algebraic expression. 21 more than twice goran's savings use the variable g to represent goran's savings. need to know fast.

Aprofessional hockey team has noticed that, over the past several seasons, as the number of wins increases, the total number of hot dogs sold at the concession stands increases. the hockey team concludes that winning makes people crave hot dogs. what is wrong with the hockey team's conclusion? a) it does not take into account the attendance during each season. b) it does not take into account the number of hamburgers sold during each season. c) it does not take into account the number of concession stands in the hockey arena. d) it does not take into account the number of seasons the hockey team has been in existence.