For a normal distribution with mean equal to - 30 and standard deviation equal to 9 what is the area under the curve that is between - 34.5 and - 39.

0.1498 square units.

Step-by-step explanation:

Let x be any random variable that follows normal distribution.

Given : For a normal distribution with mean equal to - 30 and standard deviation equal to 9.

i.e.   and

Use formula to find the z-value corresponds to -34.5 will be

Similarly,  the z-value corresponds to -38 will be

By using the standard normal table for z-values , we have

The  area under the curve that is between - 34.5 and - 39. will be :-

Hence, the area under the curve that is between - 34.5 and - 39 = 0.1498 square units.

this shows a reflection over the x-axis and is translated one unit down and 6 units to the right (x + 6, y - 1)

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