The force of impact to break a particular brand of wooden ba

The force of impact to break a particular brand of wooden baseball bat is normally distributed with a mean of 5000 pounds and a standard deviation of 2000 pounds. What proportion of this brand of baseball bat breaks at less than 1500 pounds of force?

0.0401

0.9599

0.6834

0.9500

0.000

Solution

So proportion of this brand of baseball bat breaks at less than 1500 pounds of force is

P(X<1500) = P((X-mean)/s <(1500-5000)/2000)

=P(Z<-1.75) = 0.0401 (from standard normal table)

Answer: 0.0401