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6. A company is interviewing candidates for internships. A candidate first needs to register at the front desk, which takes 10 minutes. The front desk can register three candidates at the same time. Then the candidate needs to stay in a waiting room for 15 minutes. The waiting room can at most contain 100 people. After waiting, the candidate goes to the first-round interview, which takes 20 minutes. Only one candidate is being interviewed at the same time. Half of the candidates fail the first-round interview and no longer move on. The other half, who pass the first-round interview, will stay in the waiting room (the same waiting room as before) again for 15 minutes, and then go to the second-round interview, which takes 30 minutes. Only one candidate is being interviewed at the same time. The whole process ends after the second-round interview. (a) Draw a flow chart of the interview process. (4 points) (6) What is the bottleneck of the process? (4 points) (c) Suppose that two candidates arrive every hour. On average, how many candidates are in this process? (4 points) 7. Sunshine company produces oranges. In Spring, Sunshine needs to contract with Moonlight company to sell all the oranges, which will be harvested in Fall. The quantity of oranges is uncertain and follows a normal distribution with a mean of 500 tons and a standard deviation of 100 tons. For the current contract, Sunshine must specify how many tons it promises to sell to Moonlight in the Fall. MacBook Pro