Answer:
0.2776
Step-by-step explanation:
A suitable calculator can tell you the area with only the "work" of entering the numbers:
normalcdf(0.59,10) = 0.2775953248
(From a TI-83)
The area of the shaded region is about 0.2776.
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Additional comment
The area beyond 7 standard deviations from the mean is on the order of 1.3×10^-12, so "infinity" as a limit can be effectively replaced by any number more than 7 standard deviations from the mean. We have used 10 as a stand-in for "infinity", but 7 would do nicely in this context (above), where only 10 digits are displayed.
