Probability Assignment - Project 2 8. Il two students are selected at random, wit ement, what is the probability they are both juniors? (6 p() Names: Instructions 9. If two students are selected at random, without replacement, what is the probability the first student is a freshman Complete this assignment using Excel for any calculations. and the second student is a sophom (6 p!) When you are finished, compare your answers with your groupmates and create a final draft. Feel free to simply type your answers directly into this document Have one member upload a completed version using the submission link in Blackboard 10. What is the probability a randomly sel ase the school based on cost of size? (6 pt) If you give your final ans as decimals, round to four decimal places. Part 1 Contingency Table 11. What is the probability a randomly selected student is a senior of chose the school based on sire? (6 BU Researchers asked students at a mid size university in Pennsylvania, "What was the most important factor in choosing a university?" In total, 512 randomly selected undergraduate students were surveyed. The following two-way table summarizes the responses. Part 2: Manufacturing Freshmen Sophomore Junior Senior Total A company named MicroPower assembles kitchen microwave ove s. Some of the parts they use are manufactured by Reputation 96 52 48 42 238 other companies and then shipped to a Microlowry factory For a certain model of microwave oven, they purchase door Cost 64 40 36 40 180 handles from two separate suppliers. In total, they obtain 24%% of their door handles from Supplier A and 76% from Size of School 32 24 20 18 94 Supplier B. Total 192 116 104 100 512 For a variety of reasons, some of the door handles arrive at Miguelowen's factory with defects. Door handles from Supplier A are defective 2% of the time, and door handles from Supplier B are defective 3.5% of the time. Unfortunately, 1 What is the probability a randomly selected student is a sophomore? (4 p1) the defects are not usually discovered u customer has been using the microwave oven for a little while Using this information, answer the following q 2. What is the probability a randomly selected student chose their university based on reputation? (4 px) 12. One microwave oven is selected at random. What is the probability that it has a door handle from Supplier A? (4 RX) 3. What is the probability a randomly selected student is not a sophomore? (6 pX) 13. Given that a microwave oven has a door handle from Supplier A, what is the probability that the handle is defective? (6 p!) 4. Given that a student is a junior, what is the probability that student chose the school based on cost? (6 PD) 14. One microwave oven is selected at random. What is the probability that it has a door handle from Supplier A and the S. handle is defective? (6 pr) Given that a student chose the school based on cost, what is the probability that student is a junior? 15. One microwave oven is selected at random. What is the probability that it has a defective door handle? (12 put) 6. What is the probability a student chose the school based on reputation given the student is a sophomore? (6 pt) 16. One microwave oven is selected at random. What is the probability that it has a door handle that is not defective? (10 p() 7. What is the probability a randomly selected student is a senior and chose the school based on size? (6 pt "D Fo Predictions: On Accessibility: Good to go
