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**Unformatted text preview: **SMAM 351 Name_______________
Quiz 2 N Solution
1. The probability that an integrated circuit chip will have defective etching is 0.12, the probability that it will have a crack defect is 0.29 and the probability that it has both defects is 0.07. What is the probability that an integrated circuit chip has A. at least one of the two kinds of defects? (4 points) Let A be event of defective etching, B be the event of a crack defect, P(A) = 0.12 P(B) = 0.29 P(A ∩ B) = 0.07 P(A ∪ B) = P(A) + P(B) −P(A ∩ B) = 0.12+0.29 –0.07 = .34 B. neither defect? (4 points) P(A ′ ∩ B′ ) = P(A ∪B)′ = 1−P(A ∪ B) = 1− .34 = .66
C. a crack defect but does not have defective etching? (4 points) P(B ∩ A′) = P(B) −P(B ∩ A) = 0.29− 0.07 = 0.22 2. How many code words may be formed using the letter A twice, the letter B three times and the letter C four times? (4 points)
9! = 1260 2!3!4! 3. A car rental agency has 18 compact cars and 12 ...