You have a really annoying stapler that seems to randomly jam. On any given attempt to staple, it seems to independently jam 11.3% of the time.

a) Out of 200 papers stapled, what is the probability that your stapler will jam 15 times or fewer?

b) Find the mean and standard deviation for the number of jammed staples out of 200 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 15 times or fewer out of 200 attempts.

e) Use the normal distribution (with continuity correction) to find the probability that your stapler will jam 15 times or fewer out of 200 attempts.