Warranty Assessment. Assume that your company guarantees a product will perform

Question

Warranty Assessment.  Assume that your company guarantees a product will perform with 92% reliability after 15 years.   To verify this performance, you will select a sample of 8 products after they have been in storage for 15 years and test each.  No failures are allowed in this test (in other words, if any of the test specimens fail, the entire test is considered a failure).    If the product has a reliability of 0.94 at the end of 15 years, what is the probability you will pass this test?  Explain your approach and show your answer below

Explanation / Answer

for test to be successful every component has to pas then test

probabilty that one component pass =0.94

hence probabilty that all 8 components does pass the test =(0.94)8 =0.609569

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