Question

A product is made up of 20 components in a series. Ten of the components have a 1/10,000 chance of failure. Five have a 3/10,000 chance for failure. Four have a 4/10,000 chance for failure. One component has a 1/100 chance for failure. What is the overall reliability of the product?

Answer 1

Answer: The overall reliability of the product is 0.0141.

Explanation:

Since we have given that

Number of components have a 1/10000 chance of failure = 10

Number of components have a 3/10000 chance of failure = 5

Number of components have a 4/10000 chance of failure = 4

Number of component have a 1/100 chance of failure = 1

According to question, it becomes,

`10* (1)/(10000)+5* (3)/(10000)+4* (4)/(10000)+(1)/(100)\\\\=(10+5* 3+4* 4+100)/(10000)\\\\=(10+15+16+100)/(10000)\\\\=(141)/(10000)\\\\=0.0141`

Hence, the overall reliability of the product is 0.0141.