Q1-26 Section 7.5

Question 1 3 pts Trafc engineers are investigating the high rate of fatal accidents at a lighted city intersection. They discover that 7 % of the cars that are within 200 feet of the intersection when the light turns red pass through the red light without stopping. Suppose two cars are now within 200 feet of the is the probability that both drivers pass through the red light without stopping? {Please do not round your answer). Question 2 3 pts Given P (A) 20.452 what is the probability of complement, :4 , of the event? In other words, what is 1964) :2? Note: Enter your answer in the box below without rounding it. Question 3 3 pts Given P(E) 20.416 , P(F) 20.359 , P(E U F) 20.65 , what is the value of P (E n F) =? Note: Enter your answer in the box below without rounding it. E Question 4 3 pts The Chicago Bears football team has a probability of 0.52 to win the next game, and a probability of 0.19 to tie the next game. What is the probability for the team to lose the next game? Note: Please enter your nal answer in full without rounding it. E Question 5 3 pts Determine the probability of event E if the odds against E are 26 to 29. Note:For any final answer that has up to four decimal places, enter your answer without rounding the number. For any answers with more than four decimal values, round your final answer to four decimal places. Question 6 3 pts Determine the probability of event E if the odds for (i.e., in favor of) E are 20 to 15. Note:For any final answer that has up to four decimal places, enter your answer without rounding the number. For any answers with more than four decimal values, round your final answer to four decimal places.Question 7 3 pts In the days he was still playing, Reggie Miller could score from the free-throw line 93 % of the time. Suppose he is playing in a game and he is fouled and has got to shoot two. Assuming that the result of each free-throw is independent of the result of the other free-throw, What is the probability that he will score at least one of the shots? Note: Please enter your answer in the box below without rounding it. Question 8 3 pts Trafc engineers are investigating the high rate of fatal accidents at a lighted city intersection. They discover that 23 % of the cars that are within 200 feet of the intersection when the light turns red pass through the red light without stopping. Suppose two cars are now within 200 feet of the is the probability that at least one of the drivers passes through the red light without stopping? (Please do not round your answer). Question 9 3 pts Given P(E) =0.413 , P(F) =0.321 , P(E n F) =0.072 , what is the value of P(E U F) 2? Note: Enter your answer in the box below without rounding it. E Question 10 3 pts Anne is taking courses in both mathematics and English. She estimates her probability of passing mathematics at 0.42 and passing English at 0.48 , and she estimates her probability of passing at least one of the courses at 0.73 . What is the probability that Anne could pass both courses? Note: Enter your nal answer in the box below without rounding it. E Question 11 3 pts Determine the probability of event E if the odds for (i.e., in favor of) E are 11 to 13. Note:For any final answer that has up to four decimal places, enter your answer without rounding the number. For any answers with more than four decimal values, round your final answer to four decimal places. Question 12 3 pts Given, P (E) =0.101 , P(EUF) =0.376 , P(En F) =0.083 , what is P (F) =? Note: Enter your answer in the box below without rounding it.Question 13 3 pts Determine the probability of event E if the odds against E are 9 to 12. Note:For any final answer that has up to four decimal places, enter your answer without rounding the number. For any answers with more than four decimal values, round your final answer to four decimal places. Question 14 3 pts Suppose events A and B are mutually exclusive events in sample space S. If P (A) = 0.057 and P (B) =0.281, what is the value of P(A U B) =? Note: Enter your full answer in the box below without rounding it.Question 15 3 pts In the days he was still playing, Reggie Miller could score from the free-throw line 86 % of the time. Suppose he is playing in a game and he is fouled and has got to shoot two. Assuming that the result of Let: free-throw is independent of the result of the other free-throw, What is the probability that he will score on both shots? Note: Please enter your answer in the box below without rounding it. Question 16 2 pts Given the following Venn diagram: DATA A B 0.09 0.46 0.07 0.06 0.11 0.05 0.14 0.02 C answer the following questions by filling in each box with the appropriate value. a) P (A U BUC) = b) P (B but not C) = c) P(C but not A) = d) P(An BAC) =Question 17 2 pts Given the following Venn diagram: Data A B 0.41 0.11 0.25 0.23 answer the following questions by filling in each box with the appropriate value. a) P(A U B) = b) P ( A but not B) = c) P (B but not A) = d) P(An B) =Given the following Venn diagram: DATA A B 0.08 0.15 0 06 0.11 .1 '@ 0'37 0.09 C answer the following questions by lling in each box with the appropriate value. b) P (C but not A) =- C) P (B but not C) = 0') P(neither B nor C) = _ Question 19 3 pts If P (E) = 0.35 , then calculate and find that (enter one digit per box after simplifying your numbers to the extent possible): a) The odds for E are: to b) The odds against E are: to Question 20 3 pts If P(E) = 0.2 , then calculate and find that (enter one digit per box after simplifying your numbers to the extent possible): a) The odds for E are: to b) The odds against E are: toQuestion 21 3 pts If P (E) = 0.42 , then calculate and find that (enter one digit per box after simplifying your numbers to the extent possible): a) The odds for E are: to b) The odds against E are: to Question 22 3 pts If P(E) = 0.3 , then calculate and find that (enter one digit per box after simplifying your numbers to the extent possible): a) The odds for E are: to b) The odds against E are: toQuestion 23 4 pts Suppose events E and F are independent, with P (F) = 0.63 and P (E n F) = 0.2835. Calculate the following and enter your answer one digit per box (Please simplify your numbers to the extent possible). a) The odds fg E are: to b) The odds against E are: to Question 24 4 pts Suppose events E and F are independent, with P (F) = 0.64 and P (E n F) = 0.16. Calculate the following and enter your answers one digit per box (Please simplify your numbers to the extent possible). a} The odds fg' E are: to b) The odds against E are: to Question 25 4 pts Suppose events E and F are mutually exclusive, with P (F) = 0.48 and P (E U F) = 0.56. Calculate the following and enter your answer one digit per box (Please simplify your numbers to the extent possible). a) The odds fo_r E are: to b) The odds against E are: to Question 26 4 pts Suppose events E and F are mutually exclusive, with P (F) = 0.7 and P (E U E) = 0.90. Calculate the following and enter your answer one digit per box (Please simplify your numbers to the extent possible). a) The odds f E are: to b) The odds against E are: to