What is the probability that a customer will receive his, Applied Statistics

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What is the probability that a customer will receive his

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?

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