Question

Find the area of the shaded region. The graph depicts the standard normal distribution with mean 0 and standard deviation 1.

Answer 1

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.