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A. You are working in TV set factory. The manufactured TV has a normal distribution life with m = 3,500 working hours and s =

A.

  1. You are working in TV set factory. The manufactured TV has a normal distribution life withm = 3,500 working hours ands = 200 hours.
  2. What is the probability that a TV will work less than 3,350 hours?
  3. What is the probability that a TV will work more than 3,750 hours?
  4. What is the probability that a TV will work between 3,350 & 3,750 hours?
  5. What is TV life that you are confident 95% it will keep working?

B.

  1. You are working in a bank. You have collected enough data to determine the average time needed to serve one customer and found that it follows a normal distribution withm = 4.78 minutes ands = 1.32 minutes.
  2. What is the probability that you will serve 10 customers every hour?
  3. What is the probability that you will serve more than 15 customers every hour?
  4. What is the probability that you will serve between 10 & 15 customers every hour?
  5. What is the number of customers you will be 95% confident that you will serve every hour?

C.

  1. You are thinking about signing a contract, as a supplier for one of the biggest global exporting company. The draft contract obligates you to deliver 20 tons of orange every week. The delivery process of orange during this season follows a normal distribution withm = 22.5 tons every week ands = 3.2 tons.
  2. What is the probability that you will achieve the contract terms?
  3. What is the orange quantity that you will be 95% confident that you will deliver every week?

  • Ensure that all steps are documented in an appropriate order, including output obtained from calculation performed using Minitab.

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