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At a logistics hub two events are recorded for every shipment :
E : The shipment arrives at the hub on schedule.
F : The shipment leaves the hub on schedule.
It is given that the chance a shipment arrives on schedule is 60%, the chance a shipment leaves on schedule is 80%, and the chance a shipment both arrives and leaves on schedule is 50%.
Show that events E and F are not independent.
Find P(E∩F′).
Given that a shipment arrives on schedule, find the probability it does not leave on schedule.
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