14. Camryn Jones is a weld inspector at a shipyard. He knows from keeping track of good and substandard welds that for the afternoon shift 3% of all welds done will be substandard. If Smith checks 400 of the 8500 welds completed during the afternoon shift: a) What is the probability that he will find less than 30 substandard welds? b) What is the probability that he will find between 10 and 30 substandard welds? c) What is the probability that he will find 20 or more substandard welds?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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14. Camryn Jones is a weld inspector at a shipyard. He knows from keeping track of good and
substandard welds that for the afternoon shift 3% of all welds done will be substandard. If Smith
checks 400 of the 8500 welds completed during the afternoon shift:
a) What is the probability that he will find less than 30 substandard welds?
b) What is the probability that he will find between 10 and 30 substandard welds?
c) What is the probability that he will find 20 or more substandard welds?

That's my question on my homework paper, and I'm not sure how to approach it. I tried using n and p as the population and probability on the first question but only got a z score of 5.13 and that isn't even on the standard z score chart. Any help would be appreciated. 

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