An electronic office product contains 5100 electronic compon

An electronic office product contains 5100 electronic components. Assume that the probability that each component operates without failure during the useful life of the product is 0.999, and assume that the components fail independently. Approximate the probability that 5 or more of the original 5100 components fail during the useful life of the product.
Round your answer to 3 decimal places.

Solution

In this n = no of components= 5100

prob for not tailing = 0.999

X the no of failures follow a binomial distribution with p = 0.001 and n =5100

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probability that 5 or more of the original 5100 components fail during the useful life of the product.

= P(X>=5)

= 0.611