The owner of a restaurant relies heavily on its lunch time crowd of business people to make her restaurant successful. To attract a large crowd, it advertises that, if a customer does not receive his/her meal within 15 minutes of ordering, his or her meal will be free. If this time is normally distributed with a mean of 12 minutes and a standard deviation of 1.8 minutes,
- What is the probability that a customer will receive his meal in less than 10 minutes?
- What is the probability that a customer will get her meal for free?
- If the restaurant only wants 3% of its meals to be free, how must it change its advertisement?
- If it wants to keep its promise of 15 minutes, what would its mean service time need to be?
• If it wants to keep its promise of 15 minutes, what would its standard deviation in service times need to be?