Question

STAT_14_2 In learning center there is a coffee machine for student service. The number of machine...

STAT_14_2

In learning center there is a coffee machine for student service. The number of machine faults is split into Poisson distribution.
On a normal day the number of faults is 1 per day and on a busy day the number of faults is 3 per day.
The probability that a day is a busy day is 0.3, independently of other days.

A. What is the probability that in normal three days there will be at least 2 faults all days together?
B. Days Sun to Wed, are ordinary days. It is known that on days Sun and Mon there were a total of 4 machine failures.
What is the probability that on Wednesday there will be no glitches at all?
C. What is the probability that on a random day there will be exactly two machine failures?

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