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Mathematics, 15.12.2020 08:40 ShayMoore

Two 5-year old girls, Alyse and Jocelyn, have been training to run a 1 mile race. Alyse’s 1 mile time A is approximately Normally distributed with a mean of 13.5 minutes and a standard deviation of 2.5 minutes. Jocelyn’s 1 mile time J is approximately Normally distributed with a mean of 12 minutes and a standard deviation of 1.5 minutes.
Assuming A and J are independent random variables, what is the probability that
Alyse has a smaller time than Jocelyn in a 1 mile race on a randomly selected day?

I'm more so looking for an explanation on how to find the answer, thanks :)

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