The pucks used by the National Hockey League for ice hockey must weigh between 5.5 and 6.0 ounces. The weights of pucks produced by a local manufacturer are normally distributed with a mean on 5.6 ounces and a standard deviation of 0.11 ounce.
a. Find the probability a puck produced by this manufacturer is between 5.5 and 6 ounces.
we have
mean=5.6 ounce and SD=0.11 ounce
Hence
Now
Probability that a puck produced by this manufacturer is between 5.5 and 6 ounces is,
from Z table
Thus
Probability that a puck produced by this manufacturer is between 5.5 and 6 ounces is 0.8182
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