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# Using Normal approximation to binomial distribution

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Smith is a weld inspector at a ship yard. He knows from keeping track of good and substandard welds that 5% will be substandard. If he checks 300 of 7500 welds, what is the probability that he will find less than 20 substandard welds?

To solve the problems on the up-coming test we will use either the "normalcdf" or InvNorm" functions on the TI-84 Plus calculator.

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https://brainmass.com/statistics/central-limit-theorem/normal-approximation-to-binomial-distribution-weld-594822

#### Solution Preview

To solve this question, we use normal approximation to binomial distribution because the sample size which is 300 is too large if we use formula of binomial distribution to ...

#### Solution Summary

This solution solves a probability question involving the inspection of welds using normal approximation to binomial distribution.

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