a. What is the probability that a randomly selected student passes the course?b. If a randomly selected student passed the course, what is the probability thathe or she studies more than 90 minutes in the resource room?c. What is the probability that a randomly selected student does not pass thecourse?d. If a randomly chosen student did not pass the course, what is the probabilitythat he or she did not study in the resource room?5B. Hint for solution, for independent events A and BP(AnB) - P() x P(B) - (1-P(Α)) x (1-P(Β)To find P(A U B)P(ĀNB) = P(A U B) = 1– P(A U B)Р(AU B) %3D 1- [(1— Р(4)} x (1 — Р(В)}] Q.55A. On average 62 % of Finite Mathematics students spend some time in theMathematics Department's resource room. Half of these students spend more than 90minutes per week in the resource room. At the end of the semester the students in theclass were asked how many minutes per week they spent in the resource room andwhether they passed or failed. The passing rates are summarized in the followingtable:Time spent in resource roomPass%None27Between 1 and 90 minutes42More than 90 minutes75

Let event A,B and C represent student who spend no time, 1 to 90 minutes and more than 90 minutes in…

minutes per week in the resource room. At the end of the semester the students in the class were asked how many minutes per week they spent in the resource room and whether they passed or failed. The passing rates are summarized in the following table: "ime spent in resource room Hone Pass% 27 Between 1 and 90 minutes 42 More than 90 minutes 75