You have a really annoying stapler that seems to randomly jam. On any given attempt to staple, it seems to independently jam 10.5% of the time. a) Out of 300 papers stapled, what is the probability that your stapler will jam 24 times or fewer? Please use an online Binomial Distribution calculator to provide a more accurate answer than your z-table. For example: https://homepage.divms.uiowa.edu/~mbognar/applets/binnormal.html Correct b) Find the mean and standard deviation for the number of jammed staples out of 300 attempts. Mean:   Standard Deviation:  c) Does the normal approximation apply? Explain.         d) Use the normal distribution (without continuity correction) to find the probability that your stapler will jam 24 times or fewer out of 300 attempts.  e) Use the normal distribution (with continuity correction) to find the probability that your stapler will jam 24 times or fewer out of 300 attempts.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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You have a really annoying stapler that seems to randomly jam. On any given attempt to staple, it seems to independently jam 10.5% of the time.

a) Out of 300 papers stapled, what is the probability that your stapler will jam 24 times or fewer? Please use an online Binomial Distribution calculator to provide a more accurate answer than your z-table. For example: https://homepage.divms.uiowa.edu/~mbognar/applets/binnormal.html Correct

b) Find the mean and standard deviation for the number of jammed staples out of 300 attempts.

Mean:   Standard Deviation: 

c) Does the normal approximation apply? Explain.

 

 

 

 

d) Use the normal distribution (without continuity correction) to find the probability that your stapler will jam 24 times or fewer out of 300 attempts. 

e) Use the normal distribution (with continuity correction) to find the probability that your stapler will jam 24 times or fewer out of 300 attempts. 

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