Fact: the region under the standard normal curve that lies to the left of 1.481.

Question

Fact: the region under the standard normal curve that lies to the left of 1.481.48 has area 0.06943660.0694366.

Without consulting a table or a calculator giving areas under the standard normal curve, determine the area under the standard normal curve that lies to the right of 1.48.

answer:

b) Which property of the standard normal curve allowed you to answer part a)?
A. The total area under the curve is 1
B. The standard normal curve extends indefinitely in both directions
C. Almost all the area under the standard normal curve lies between 33 and 33
D. The standard normal curve is symmetric about 0
E. None of the above

Explanation / Answer

a) So, area to the left of -1.48 is .0694366

Area to the right is therefore total area - area to the left

= 1-.0694366
= .930563

b) We have used the property that sum of probabilities under normal curve is 1

So, A is right

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