The company Hedonic has made coffee dispensers available to its workers. The coffee consumption of its 100 employees has a normal distribution with an expected value of 130 l/week and a standard deviation of 5 l/week. (a) What is the probability that 125 l of coffee are enough for a week? (b) Management wants the coffee supply to have a 95% probability of meeting demand. How many litres of coffee must they have available each week?

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The company Hedonic has made coffee dispensers available to its workers. The coffee consumption of its 100 employees has a normal distribution with an expected value of 130 l/week and a standard deviation of 5 l/week.

(a) What is the probability that 125 l of coffee are enough for a week?

(b) Management wants the coffee supply to have a 95% probability of meeting demand. How many litres of coffee must they have available each week?  

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