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Q1
IA counselor classifies his students as excellent. fair and poor students based on the overall performance in their examination. Excellent and fair students constitute 113% and 30% of the students respectively. The probabiiity that a student will score A for mathematics for excellent, fair and poor students are .E,D.3 and {1.1 respectively. a} Draw a tree diagram to represent the above situation. b} Find the probability that a student chosen at random is classified as fair students and will score A for mathematics. c) Find the probability that a student chosen at random will score A for mathematics. d) A student did not score A for his mathematics subject. What is the probability that he is an exceiient student? The Land of Nod lies in the monsoon zone, and has just two seasons, Wet and Dry. The Wet season lasts for 1/3 of the year, and the Dry season for 2/3 of the year. During the Wet season, the probability that it is raining is 3/4; during the Dry season, the probability that it is raining is 1/6. (a) I visit the capital city, Omarabad, on a random day of the year. What is the probability that it is raining when I arrive? (b) I visit Omarabad on a random day, and it is raining when I arrive. Given this information, what is the probability that my visit is during the Wet season? (c) I visit Omarabad on a random day, and it is raining when I arrive. Given this information, what is the probability that it will be raining when I return to Omarabad in a year's time? (You may assume that in a year's time the season will be the same as today but, given the season, whether or not it is raining is independent of today's weather.)If the construction job can be completed on time, find the probability that there will be no strike QUESTION 6 The completion of a construction job at Town Z may be delayed because of a strike The probability that there will be a strike in that construction area is 0.25. The probability that the construction job will not be completed on time if there is a strike is 0.6 and the probability that the construction job will be completed on time if there is no strike is 0.82Company K sells cars which are manufactured at three different factories X,Y, and Z with proportions of35%,25% and 40% respectively. Records shows that the proportions of mechanical malfunctionof cars manufactured at X,Y, and Z are 1%,2% and 1% respectively
