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Kendra and Elsa are competing in a 1km swimming race. Assume that Kendra's average time to complete this type of race is 28.4 minutes with

Kendra and Elsa are competing in a 1km swimming race. Assume that Kendra's average time to complete this type of race is 28.4 minutes with standard deviation of 2.1 minutes, and that Elsa's average time is 30.8 with a standard deviation of 1.9 minutes.

Assuming their race times are independent, what is the probability that Elsa will achieve a lower time and win the race?

Answer as a probability (between 0 and 1) to four decimal places.

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