a) On a sunny day, what is the probability that Mason does not find a spot in Lot A?   (b) In a week that is sunny on Monday and Friday and raining on Wednesday, what is the probability that Mason does not find a spot in Lot A on any of the three days? (Round your answer to four decimal places.)   (c) In a week that is sunny on Monday and Friday and raining on Wednesday, what is the probability that Mason finds a spot in Lot A on at least one of the three days? (Round your answer to four decimal places.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Mason drives to school for his class on Monday, Wednesday and Friday. He prefers to park in Parking Lot A because it is next to his classroom building, but he is not always able to find a spot there. If it's sunny the probability that he finds a spot is 0.72 but if it's raining more people drive, so the probability that he finds a spot is only 0.44. Whether he finds a spot in Lot A is independent from one day to the next.
(a)
On a sunny day, what is the probability that Mason does not find a spot in Lot A?
 
(b)
In a week that is sunny on Monday and Friday and raining on Wednesday, what is the probability that Mason does not find a spot in Lot A on any of the three days? (Round your answer to four decimal places.)
 
(c)
In a week that is sunny on Monday and Friday and raining on Wednesday, what is the probability that Mason finds a spot in Lot A on at least one of the three days? (Round your answer to four decimal places.)
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