Question

A drinks machine sells cans of Ecoglug and Glucofizz. The number of cans
of Ecoglug and Glucofizz sold during a fixed period of time have Poisson
distributions with means 8 per hour and 12 per hour, respectively.
(a) Find the probability that in a given 15 minute period fewer than 3 cans of
Ecoglug are sold. [2 marks]
(b) Find the probability that in a given 30 minute period more than 12 cans of drinks
are sold. [3 marks]
(c) In a given 5 minute period, exactly 2 cans are sold. Find the probability that
they are both Glucofizz.

Answer 1

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