(b). If Faculty of Engineering and Technology is located south of the land of Malete and experiences Wet and Dry seasons yearly. Assume the Wet season in the vicinity of the building lasts for 1/3 of the year, and the Dry season for 2/3 of the year. The chances of rain falling during the wet and dry seasons are 3/4 and 1/6, respectively. If you visit the engineering building on a random day of the year, what is the chance that it will rain on arrival? i. ii. If you visit the engineering building on a random day, and it rains on arrival. What is the during the uuat ceacon?

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(a). Derive the theorem of total chance of occurrence of engineering events.
(b). If Faculty of Engineering and Technology is located south of the land of Malete and experiences Wet
and Dry seasons yearly. Assume the Wet season in the vicinity of the building lasts for 1/3 of the year,
and the Dry season for 2/3 of the year. The chances of rain falling during the wet and dry seasons are 3/4
and 1/6, respectively.
i. If you visit the engineering building on a random day of the year, what is the chance that
it will rain on arrival?
If you visit the engineering building on a random day, and it rains on arrival. What is the
chance that your visit is during the wet season?
ii.
Transcribed Image Text:(a). Derive the theorem of total chance of occurrence of engineering events. (b). If Faculty of Engineering and Technology is located south of the land of Malete and experiences Wet and Dry seasons yearly. Assume the Wet season in the vicinity of the building lasts for 1/3 of the year, and the Dry season for 2/3 of the year. The chances of rain falling during the wet and dry seasons are 3/4 and 1/6, respectively. i. If you visit the engineering building on a random day of the year, what is the chance that it will rain on arrival? If you visit the engineering building on a random day, and it rains on arrival. What is the chance that your visit is during the wet season? ii.
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