In quality control process of 3 items of a company, it has been established that product A corresponds to 28% of total production, product B corresponds to 35% of total production and rest corresponds to product C, of product A 1.2% of the items have some kind of failure. 2.5% of product B have failure and 3.1% of items of product C have failures. According to these data is or are true following statements:  I. Total probability of failure of company's items is about 2.4%. II. Probability that an item that is failed is of production B is approximately 36.5%. III. If a product is selected at random, probability that it is of type C and that it is not failed is about 35.9%. Select ONLY one: a. Only I b. Only II c. Only III d. II and III e. I, II and III

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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In quality control process of 3 items of a company, it has been established that product A corresponds to 28% of total production, product B corresponds to 35% of total production and rest corresponds to product C, of product A 1.2% of the items have some kind of failure. 2.5% of product B have failure and 3.1% of items of product C have failures. According to these data is or are true following statements:
 I. Total probability of failure of company's items is about 2.4%.
II. Probability that an item that is failed is of production B is approximately 36.5%.
III. If a product is selected at random, probability that it is of type C and that it is not failed is about 35.9%.
Select ONLY one:
a. Only I
b. Only II
c. Only III
d. II and III
e. I, II and III

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