Question

20. The area under the normal curve between Z = -1and Z = -2 is ________________...

20. The area under the normal curve between Z = -1and Z = -2 is ________________ the area under the normal curve between Z =1 and Z = 2.
A. Less than
B. Greater than
C. Equal to
D. A, B or C above dependent on the value of the mean
E. A, B or C above dependent on the value of the standard deviation

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Answer #1

Answer : Option C) Equal to

A normal curve is symmetrical in nature. That is the area to the left of the mean exactly equals the area to the right of the mean of the normal curve. That is skewness of the normal curve is zero. So area between any two points to the left of the mean equals the area between any two points to the right of the mean. [Note : Herein mean is equal to zero]

Thus : Area under the normal curve between Z = - 1 and Z = - 2 is equal to the area under the normal curve between Z = 1 and Z = 2.

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