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Take a Test Stephanie Holbert-Google Chrome a Secure https//www.mathd.com/Student/Player Test.aspx?testld-169140119¢erwin; yes Math 1324 -340 Stephanie Holbert 12/7/17 11:14 PM Quiz: q12 (7.4) Time Remaining: 00:58:30 Submit Quiz This Question: 1 pt 40f 4 (0 complete) This Quiz: 4 pts possib Suppose that 12% of a certain batch of calculators have a defective case, and that 15% have defective batteries Aso, 2% have both a defect e case and detective batteries. A calculator is selected from the batch at random. Find the probability that the calculator has a good case and good batteries The probability that the calculator has a good case and good batterers is (Type an integer or a decimal)Explanation / Answer
C = defective Case
B = defective battery
C' = good case
B' = good battery,
Given that : P(C) = 0.12, P(B) = 0.15 and P(BC) = 0.02
We are asked to find P(C' B')
P(C' B') = P(B U C)’ by De morgan’s rule
Thus P(C' B') = 1 – P(B U C)
Now,
P(B U C) = P(B) + P(C) – P(BC) = 0.12 + 0.15 – 0.02 = 0.25
P(C' B') = 1 - 0.25 = 0.75 answer
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