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The daily demand for petrol at a garage is normally distributed with a mean of 20000 litres and a standard deviation of 7200 litres. What is the probability that the demand in any one day is:

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greater than 25000 litres?

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greater than 17000 litres?

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between 20000 and 25000 litres?

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between 30000 and 35000 litres?

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A busy restaurant in the city centre has measured the wait time between the customer giving their food order and the customer receiving their food. The wait time for each customer follows a normal distribution with a population mean (μ) of 23 minutes and a standard deviation (σ) of 3 minutes.

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What is the probability that a randomly selected customer will wait less than 15 minutes to receive their food?

\n

 

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What is the probability that a randomly selected customer will wait between 15 to 25 minutes to receive their food?

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If the restaurant serves 500 customers in a week, how many can be expected to receive their food in less than 15 minutes ( give your answer to rounded whole number).

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