Give me answer in sequence with numbers.

Question 1 (12 marks) 3) b) Three companies A, B and C supply 25%, 35% and 40% of the notebooks to a school. Past experience shows that 5%, 4% and 2% of the notebooks produced by these companies are not of good quality. If a notebook was found to be bad quality, what isthe probability that the notebook was supplied by A? At Kennedy Middle School, the probability that a student takes Technology and Spanish is 0.087. The probability that a student takes Technology is 0.68. What is the probability that a student takes Spanish given that the student is taking Technology? Question 2 {12 marks) 3l b) C) An integer is chosen at random from the first 30,000 positive integers . What is the probability that the integer chosen is divisible by atleast one of the numbers 2,4,6]? The probability that it will be 2"C or below tomorrow morning is 0.9. When the temperature is that low, the probability that my car will not start is 0.1. What is the probability that tomorrow it will be Z'C or below and my car will not start? A problem is given to 5 students P, Q, R, S, T. If the probability of solving the problem individually is 1/2, 1/3, 2/3, 1/5, 1/6 respectively, then find the probability that the problem is solved. Question 3: Sales [Million Advertising Year Euro) {Million Euro} 1 551 23 2 3'52 25 3 355 SD 4 1,063 34 5 1,190 43 5 1,293 43 F' 1,421 52 B 1,440 5? 9 1,518 58 3]: Calculate the Pearson Product moment correlation coefficient for this set of data. (12 marks) b) Fit a simple linear regression model forthe following data taking sales (million euro} as pred icta nd variable. c) Interpret what does regression coefficient indicates in the above model. Question 4: a) b) Two events Q and R are such that PlQ}=2/8, INDEPENDENT events. Are they mutually exclusive events? {12 marks) P{Q/R)=2/a and P(R/Q]=4/7. Are Q and R 4 items are taken at random from a box of 12 items and inspected. The box is rejected if more than 3 item is found to be faulty. If there are 5 faulty items in the box .Find the probability that the box is rejected. In a certain factory, machines I, II, and III are all producing springs of the same length. Machines I, II, and \"I produce 1%, 4%, and 2% defective springs, respectively. Of the total production of springs in the factory, Machine | produces 30%, Machine ll produces 25%, and Machine lll produces 45%. If one spring is selected at random from the total springs produced in a given day, determine the probability that it is defective. Question 5: (12 marks) a) A certain carton of eggs has 3 bad eggs and 9 good eggs. An omelette is made of 3 eggs randomly chosen from the carton. What is the probability that there are no bad eggs? b) Compute the lower and upper Quartile from the following grouped frequency distribution