estaspx?testid 166 MAT 165-9821 45633 Test: Final Exam Submt Test This Question:

Question

estaspx?testid 166 MAT 165-9821 45633 Test: Final Exam Submt Test This Question: 1 pt 24 of 24 (23 complete) This Test: 24 pts possible In 2013, the total sales from 3 different car In 2013, the total sales fom 3 different car production companies was 606,34 cars or ligt tucks The prob blity that te whie as made by Cempenry A 0.392, by Company B 0 350, and by Company C 0 258 Additionally, the ity that a Company A vehicle sold was a car was 0 388, a Company B vehicle sold was a car was 0.370, and a Company C vehicle sold was a car was 0332. Gren the vehicle sold was a car, find the probability i was made by Company A The probability a vehicle was made by Company A, given was a car is (Round to three decimal places as needed)

Explanation / Answer

P(Company A) = 0.392

P(Company B) = 0.35

P(Company C) = 0.258

P(vehicle sold was car | company A) = 0.388

P(vehicle sold was car | company B) = 0.37

P(vehicle sold was car | company C) = 0.332

P(vehicle sold was car) = P(vehicle sold was car | company A) * P(company A) + P(vehicle sold was car | company B) * P(company B) + P(vehicle sold was car | company C) * P(company C)

= 0.388 * 0.392 + 0.37 * 0.35 + 0.332 * 0.258

= 0.367

P(Company A | vehicle sold was car) =  0.388 * 0.392 / 0.367 = 0.414

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