) Fill in the following Venn Diagram with the cardinality of each region. Math History II. III. V. 389 IV. VI. VII. VIII. English

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Q: 11. Use set identities or different proof method to show that: a) (B- A)U(C- A) = (BUC)- A b) (4 –…

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A: The given relation is A∪B∪C=A∪B∪C

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A: Cardinal number of a set is defined by the number of elements in the Set.

Q: diagram

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Q: 7. Use set identities or different proof method to show that: (AUBY NA = Ø

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Q: If a set B has 64 proper subsets of odd cardinality, what is |B|? *

A: Total no os subsets of any set A, with cadinality 'n' is- 2^n Now the no of proper subsets of of A,…

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Q: 8. Use the Venn diagram to the right to determine the cardinality. U A B n(A U B) three five nine 12…

A: Venn diagrams

Q: 000 A В 010 110) 100 111 101 011 001

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Q: Let Z = {a, b, c, d}. What is the cardinality of the Power Set of Z, |P(Z)|?

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Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.