Hanover High School has the best women’s swimming team in the region. The 400-meter freestyle relay team is undefeated this year. In the 400-meter freestyle relay, each swimmer swims 100 meters. The times, in seconds, for the four swimmers this season are approximately Normally distributed with means and standard deviations as shown. Assume that the swimmer’s individual times are independent. Find the probability that the total team time in the 400- meter freestyle relay for a randomly selected race is less than 220 seconds.

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Swimmer Mean StDev Wendy 55.2 2.8 Jill 58.0 3.0 Carmen 56.3 2.6 Latrice 54.7 2.7