GIVE TYPED WRITING SO I CAN UNDERSTAND CLEARLY.

IF YOU CANNOT TYPE,PLEASE PROVIDE NEAT AND CLEAR HANDWRITING.DO NOT GIVE BLUR AND CLUMSY WRITING.IT IS HARD FOR ME TO UNDERSTAND.

Kindly give accurate and correct answers.Kindly give step by step working.Do not skip steps. Mention and be very clear about the formula and conversion.Then,explain to support and prove the working and answers.

Q3

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.)