You have a really annoying stapler that seems to randomly jam. On any given attempt to staple, it seems to independently jam 17.3% of the time. a) Out of 400 papers stapled, what is the probability that your stapler will jam less than 58 times? Round your answer to 4 decimals. b) Find the mean and standard deviation for the number of jammed staples out of 400 attempts. Mean: Standard Deviation (rounded to 2 decimals): c) Does the normal approximation apply? Is the success / failure condition met (using a cutoff of 5)? O No O Yes

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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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 17.3% of the time.
a) Out of 400 papers stapled, what is the probability that your stapler will jam less than 58 times? Round
your answer to 4 decimals.
b) Find the mean and standard deviation for the number of jammed staples out of 400 attempts.
Mean:
Standard Deviation (rounded to 2 decimals):
c) Does the normal approximation apply? Is the success / failure condition met (using a cutoff of 5)?
O No
O Yes
d) Use the normal distribution (with continuity correction) to find the probability that your stapler will jam
less than 58 times out of 400 attempts. Use the rounded standard deviation in your calculation.
z-score (to 2 decimals) =
probability (to 4 decimals, using the rounded z-score)
Transcribed Image Text:You have a really annoying stapler that seems to randomly jam. On any given attempt to staple, it seems to independently jam 17.3% of the time. a) Out of 400 papers stapled, what is the probability that your stapler will jam less than 58 times? Round your answer to 4 decimals. b) Find the mean and standard deviation for the number of jammed staples out of 400 attempts. Mean: Standard Deviation (rounded to 2 decimals): c) Does the normal approximation apply? Is the success / failure condition met (using a cutoff of 5)? O No O Yes d) Use the normal distribution (with continuity correction) to find the probability that your stapler will jam less than 58 times out of 400 attempts. Use the rounded standard deviation in your calculation. z-score (to 2 decimals) = probability (to 4 decimals, using the rounded z-score)
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