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jaycie16
23.03.2021 •
Mathematics
What’s the answer I’m so confused with this one can someone help me this is a test
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Ответ:
0.371
Step-by-step explanation:
Given that:
Assembly requires a 4 step process:
Probability distribution of defect :
P(step 1) = 0.1
P(step 2) = 0.2
P(step 3) = 0.08
P(step 4) = 0.05
Firstly, we find the probability that there is no defect in each of the assembly process :
Probability of no defect: = (1 - p(defect))
P(step 1) = 1 - 0.1 = 0.9
P(step 2) = 1 - 0.2 = 0.8
P(step 3) = 1 - 0.08 = 0.92
P(step 4) = 1 - 0.05 = 0.95
Hence,
P(no_defect) = 0.9 * 0.8 * 0.92 * 0.95 = 0.62928
Probability of having a defective component ;
P(defect) = P(no_defect)' = 1 - p(no-defect)
1 - 0.62928 = 0.37072
0.37072
= 0.371