Question 12 {10 points] Over the past two hundreds working days, the number of defective parts produced by a assembly line is shown in the table below: Number of Defective Parts Number of Days 50 32 22 20 12 12 10 10 lilllox Humane-om 13 This information has been used to estimate the probability of a certain number of defective parts on a given day. Based on this data and the assumption determine followings (Hint: make a discrete probability distribution (relative frequency) first]: Determine the probability that tomorrow output will have none defective: \"Ev Determine the probability that tomorrow output will have no more than 4 defective: '/ Determine the probability that tomorrow output will have at least 2 defective: \"Ev Determine the probability that tomorrow output will have at most 8 defective: {v Determine the probability that tomorrow output will have 13 or fewer defective: \"Ev Determine the probability that tomorrow output will have more than 13 defective: {v Determine the expected number (expected value or mean) of defective part per day: x Determine the variance of the random variable x in the given table (round to nearest integer): l l "v Determine the standard deviation (round to nearest hundredth): l l 'v Question 14 (4 points) A Clean Site Construction Company has just received a building contract. From past experience, the company estimates there is 60% chance of making a $500,000 profit, a 10% chance of breaking even, and a 30% chance of losing $200,000, depending on weather conditions and other factor. What is the expected value of the company's contract