Question
In: Statistics and Probability
The daily amount of coffee, in liters, dispensed by a machine located in an airport lobby...
The daily amount of coffee, in liters, dispensed by a machine located in an airport lobby is a random variable X having a continuous uniform distribution with Aequals 9 and Bequals 12 . Find the probability that on a given day the amount of coffee dispensed by this machine will be (a) at most 11.1 liters; (b) more than 9.5 liters but less than 11.3 liters; (c) at least 10.5 liters.
Solutions
Expert Solution
X ~ U (9,12)
the pdf of the distribution is:-
a).the probability that on a given day the amount of coffee dispensed by this machine will be at most 11.1 liters is:-
b).the probability that on a given day the amount of coffee dispensed by this machine will be more than 9.5 liters but less than 11.3 liters is:-
c).the probability that on a given day the amount of coffee dispensed by this machine will be at least 10.5 liters is:-
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