MIP2602 Assignment 4 (COMPLETE ANSWERS) 2025 - DUE 15 August 2025; 100% correct solutions and explanations.

MIP2602 Assignment 4 (COMPLETE ANSWERS) 2025 - DUE 15 August 2025; 100% correct solutions and explanations. SECTION A: PROBABILITY QUESTION 1 1.1 A bag contains a total of 10 marbles: 3 red marbles, 4 blue marbles, 2 green marbles, and 1 yellow marble. 1.1.1 If one marble is randomly drawn from the bag, what is the theoretical probability of drawing: 1.1.1.1 A red marble = ____________ 1.1.1.2 A blue marble = ____________ 1.1.1.3 A green marble = ____________ 1.1.1.4 A yellow marble = ____________ (4) 1.1.2 Conduct an experiment where you draw one marble at a time from the bag and record the colour, returning it each time. Repeat this 14 times. Use the table below to track your results: (7) 1.1.3 Based on the results you found in question 1.1.2, calculate the experimental probability for each colour: 1.1.3.1 P(Red) = ____________ 1.1.3.2 P(Blue) = ____________ 1.1.3.3 P(Green) = ____________ 1.1.3.4 P(Yellow) = ____________ (4) 1.1.4 How do the theoretical and experimental probabilities compare in your results? Mention one reason why they might be different. (2) 1.2 One letter is selected at random from the word STATISTICS. What is the probability that the letter is: 1.2.1 S (2) 1.2.2 E (2) 1.2.3 T or C (3) 1.3 A jar contains 4 red, 5 yellow, and 6 blue marbles. Two marbles are drawn one after the other with replacement. Determine the probability that: 1.3.1 Neither marble is red. (2) 1.3.2 The first is blue and the second is yellow. (2) 1.3.3 Both are yellow. (1) 1.4 Two fair dice (one white, one red) are rolled simultaneously. The total of the two faces is recorded. What is the probability that: 1.4.1 The total is 9. (2) 1.4.2 The total is less than 5. (2) 1.4.3 The total is greater than or