Analysis and Approaches for IBDP Maths Ebook 1 | Seite 280

Your Practice Set – Analysis and Approaches for IBDP Mathematics
Chapter
21
Normal Distribution
SUMMARY POINTs
�
Properties of a random variable
1. � : Mean
2. � : Standard deviation
2
X ~ N( �� , ) following normal distribution:
3. The mean, the median and the mode are the same
4. The normal curve representing the distribution is a bell-shaped curve
which is symmetric about the middle vertical line
5. P( X � �) � P( X � �) � 0.5
6. The total area under the curve is 1
�
Standardization of a normal variable:
1.
2.
2
Z~ N (0,1 ) : Standard normal distribution with mean 0 and standard
deviation 1
X � �
Z � for
�
2
X ~ N( �� , )
Solutions of Chapter 21
272
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