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Jane and Joan are both on the track team and run the $400\text{-meter}$ dash.

Jane’s average time is $62.3\text{ seconds}$ with a standard deviation of $1.2\text{ seconds}$, while Joan’s average time is $62.5\text{ seconds}$ with a standard deviation of $1.4\text{ seconds}$.

If race times are approximately normally distributed, what is the probability of Joan winning the next race?

A

$0.2034$

B

$0.4562$

C

$0.5438$

D

$0.4823$

E

$0.0234$

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