Question Three: (15 Marks) A) A factory has three Machinery, The first produces 350, the second 300 and the third 350. The defective products from the first machine is 2%, the second 2% and the third 3%. Define the following events: A1: First Machine product A2: Second Machine product A3:Third Machine product 1) Find the following Probabilities: P(A) = P(A2) = P(A3) = B) Consider the results of a survey are given in the following table. Gender YESNO Not Sure Total What are the variables, its type and its measurement level MALE 32 18 FEMALE 2042 80 Total 52 60 Find these probabilities: 20 70 18 38 150 i) The respondent answered yes or not sure ii) The respondent answered yes and was a female. iii) The respondent was a male, given that the respondent answered no. C) These data represent the record high temperatures in degrees Fahrenheit (F) for each of the 20 states. Construct a grouped frequency distribution for the data using 4 classes and Complete the table: 110 118 122 108 127 130 123 109 119 117 125 114 113 103 109 115 120 129 122 101 Class limits Tally Frequency Percent Degrees