Question

3. A CT Public Transportation Commission survey asked 380 commuters (170 women and 210 men) "What is your primary mode of transportation to work?" The following table summarizes the results of the survey: Total Male 31 Public Transportation Drives alone Female 37 68 162 102 Other means 264 48 17 31 Total 210 170 380 c. [2 pts) What is the probability that a randomly selected responder Drives alone? b. [2 pts) What is the probability that a randomly selected responder does not Drives alone? [2 pts) What is the probability that a randomly selected responder Uses Public transportation given they are female? d. (2 pts] What is the probability that a randomly selected responder Uses Public transportation or is a Female? e. [2 pts] Given the commuter Drives alone, what is the probability that they are male? 4. [4 pts) a. The CT lottery (Classic Lotto) is designed such that there are 44 numbers (1 to 44), and to win you must select (in any order) the 6 numbers that are randomly produced. How many possible outcomes are there for the lottery? [2 pts) b. If you buy 1 ticket, what is the probability that you win?

3. A CT Public Transportation Commission survey asked 380 commuters (170 women and 210 men) "What is your primary mode of transportation to work?" The following table summarizes the results of the survey: Total Male 31 Public Transportation Drives alone Female 37 68 162 102 Other means 264 48 17 31 Total 210 170 380 c. [2 pts) What is the probability that a randomly selected responder Drives alone? b. [2 pts) What is the probability that a randomly selected responder does not Drives alone? [2 pts) What is the probability that a randomly selected responder Uses Public transportation given they are female? d. (2 pts] What is the probability that a randomly selected responder Uses Public transportation or is a Female? e. [2 pts] Given the commuter Drives alone, what is the probability that they are male? 4. [4 pts) a. The CT lottery (Classic Lotto) is designed such that there are 44 numbers (1 to 44), and to win you must select (in any order) the 6 numbers that are randomly produced. How many possible outcomes are there for the lottery? [2 pts) b. If you buy 1 ticket, what is the probability that you win?

Answer 1

Solution: 3) a) Pl priver alone Driver alone) Sell Total) 264 380 0.695 by Plog 6.305 1- P1D) = 1-0.695 = P: Public 9 PLĖ tooms portion 1 Р | Po F) PIF) 37/380 170/380 F: Female D: Drires alone 0.218 PIPOF) d) PIP OF) p(P) + PIF) 0.529 68 380 + 170 380 37 380 0.614 ej P1 P (MOD) 162/380 PID) edmont 264 1380 A) 441 11 as Total possible selection = 44 61 x 38) 7059052 bj pl wim) 7059052