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In a manufacturing process, there are two types of materials used: Aluminum and Titanium. 40% of the parts produced are made from Aluminum, and 60% are made from Titanium. The failure rates for these materials are as follows: 5% of Aluminum parts fail during production, while 2% of Titanium parts fail during production. Let A represent the Aluminum parts, T represent the Titanium parts, and F represent part failure. (a) What is the probability that a randomly selected part will fail during production? The requested probability is A. P (F) B. P (F|A) . (Type A, B, C, D, or E.) C. P (FT) D. P(A|F) E. P (T|F) The probability is computed to be (Round the answer to four decimal places.) (b) If a randomly selected part has NOT failed during production, what is the probability that it is made of Aluminum? The requested probability is . (Type A, B, C, D, or E.) A. P (F) B. P (FA) C. P (FT) D. P(A|F') E. P (T|F') The probability is computed to be (Round the answer to four decimal places.)

In a manufacturing process, there are two types of materials used: Aluminum and Titanium. 40% of the parts produced are made from Aluminum, and 60% are made from Titanium. The failure rates for these materials are as follows: 5% of Aluminum parts fail during production, while 2% of Titanium parts fail during production. Let A represent the Aluminum parts, T represent the Titanium parts, and F represent part failure. (a) What is the probability that a randomly selected part will fail during production? The requested probability is A. P (F) B. P (F|A) . (Type A, B, C, D, or E.) C. P (FT) D. P(A|F) E. P (T|F) The probability is computed to be (Round the answer to four decimal places.) (b) If a randomly selected part has NOT failed during production, what is the probability that it is made of Aluminum? The requested probability is . (Type A, B, C, D, or E.) A. P (F) B. P (FA) C. P (FT) D. P(A|F') E. P (T|F') The probability is computed to be (Round the answer to four decimal places.)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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In a manufacturing process, there are two types of materials used: Aluminum and Titanium. 40% of the parts produced are made from Aluminum, and 60% are made from Titanium. The failure rates for these materials are as follows: 5% of Aluminum parts fail during production, while 2% of Titanium parts fail during production. Let A represent the Aluminum parts, T represent the Titanium parts, and F represent part failure. (a) What is the probability that a randomly selected part will fail during production? The requested probability is A. P (F) B. P (F|A) . (Type A, B, C, D, or E.) C. P (FT) D. P(A|F) E. P (T|F) The probability is computed to be (Round the answer to four decimal places.) (b) If a randomly selected part has NOT failed during production, what is the probability that it is made of Aluminum? The requested probability is . (Type A, B, C, D, or E.) A. P (F) B. P (FA) C. P (FT) D. P(A|F') E. P (T|F') The probability is computed to be (Round the answer to four decimal places.)
Transcribed Image Text:In a manufacturing process, there are two types of materials used: Aluminum and Titanium. 40% of the parts produced are made from Aluminum, and 60% are made from Titanium. The failure rates for these materials are as follows: 5% of Aluminum parts fail during production, while 2% of Titanium parts fail during production. Let A represent the Aluminum parts, T represent the Titanium parts, and F represent part failure. (a) What is the probability that a randomly selected part will fail during production? The requested probability is A. P (F) B. P (F|A) . (Type A, B, C, D, or E.) C. P (FT) D. P(A|F) E. P (T|F) The probability is computed to be (Round the answer to four decimal places.) (b) If a randomly selected part has NOT failed during production, what is the probability that it is made of Aluminum? The requested probability is . (Type A, B, C, D, or E.) A. P (F) B. P (FA) C. P (FT) D. P(A|F') E. P (T|F') The probability is computed to be (Round the answer to four decimal places.)
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