Dan and Glenn are swimming buddies who love to challenge themselves while diving. The amount of time Dan can hold his breath underwater, D, is 111 seconds with a standard deviation of 12.5 seconds. The amount of time Glenn
can hold his breath underwater, G, is 105 seconds with a standard deviation of 10.9 seconds. Assume that D and G
are independent random variables and X = D-G.
What is the probability that on any given dive Dan holds his breath for less time than Glenn?
0.108
O 0.359
0.397
0 0.641