Question

If a product is made using five individual components, and p(product meets specifications) = p(e) =. 98, what is the probability of an individual component meeting specifications, assuming that this probability is the same for all five components?.

Answer 1

The probability of an individual component meeting specifications is; p(individual) = 0.996

Probability of association

According to the question;

• The probability p(product meets specifications) = p(e) =. 98.
• Additionally, this probability is the same for all five components

Hence, the probability that all five components meet specifications is; p(e) = 0.98 = p(I)⁵

• Hence, p(I) = ⁵√0.98

• p(I) = 0.996

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