Question: 1 . Answer the following questions in technical or non-technical language. (a) What is meant by the monotonicity of probability? Give a practical example. (b)

1 . Answer the following questions in technical or non-technical language.

(a) What is meant by the monotonicity of probability? Give a practical example.

(b) What is the principle of inclusion-exclusion? Give a practical example.

(c) What is Bayes' Theorem? Give a practical example.

(d) How do continuous and discrete probability distributions differ?

(e) What does it mean to standardize a random variable?

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