Thank you so much for helping me figure out the steps and the answers. You don't need to explain the steps:) Direct steps would be helpful for me. Thank you!

Question 6 [15 points] Apple buys a particular model of microchips from three suppliers for manufacturing the latest iPhone. 30% from Qualcomm, 50% from Samsung and 20% from Freescale. From historical data, Apple knows that 3% of chips from freescale are defective, 5% from Qualcomm and 4% from Samsung are defective. In testing one newly assembled iPhone, the chip is defective. Which company is the most likely provider? Question 7 [15 points] A construction company signs a contract to finish a project within 12 weeks, otherwise they will pay penalty for the delay. The manager estimates that the project can be finished between 11 to 15 weeks, with the following probability Weeks to complete Probability 11 0.075 12 0.65 13 0.2 14 0.05 15 0.025 (a) What's the probability of completing the project on time? [5 points] (b) What's the expected number of weeks to complete the project? (5 points] (c) The company has to pay $5000 for every additional week that past 12 weeks. For example, they have to pay $10000 if they finish in 14 weeks. What's the expected value of the penalty incurred? [5 points]