Mr. Voss and Mr. Cull bowl every Tuesday night. Over the past few years, Mr. Voss’s scores have been approximately Normally distributed with a mean of 212 and a standard deviation of 31. During the...

Mr. Voss and Mr. Cull bowl every Tuesday night. Over the past few years, Mr. Voss’s scores have
been approximately Normally distributed with a mean of 212 and a standard deviation of 31.
During the same period, Mr. Cull’s scores have also been approximately Normally distributed with
a mean of 230 and a standard deviation of 40. Assuming their scores are independent, what is the
probability that Mr. Voss scores higher than Mr. Cull on a randomly-selected Tuesday night?

LetD = difference in scores between Mr. Cull and Mr. Voss.