Every laptop returned to a repair center is classified according its needed repairs: (1) LCD screen, (2) motherboard, (3) keyboard, or (4) other. A random broken laptop needs a type i repair with probability pi = 24-i /15. Let Ni equal the number of type i broken laptops returned on a day in which four laptops are returned.
(a) Find the joint PMF
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(b) What is the probability that two laptops require LCD repairs?
(c) What is the probability that more laptops require motherboard repairs than keyboard repairs?