Symbols have been and are a significant part of our culture. Without them, we would still...

Symbols have been and are a significant part of our culture. Without them, we would still be in the middle-ages. Why? There would be no Math without symbols. Statistics is a branch of Mathematics. It too would be extremely difficult and cumbersome without its symbols. What about Excel? Would you write function CumulativeProbabilityForNormalDistribution rather than Norm.Dist? We all use shortcut notation virtually everywhere. So how hard it is to understand that, in our course, P stands for "Probability"? We also use contextual interpretation. For example, p may represent a proportion as well as probability. What about simple logical (mathematical) expressions, for example X > 100, Salary > 5000 and Salary < 10000, | X | < 5, etc.

Books and instructions for Statistics would be 10 times larger in volume without symbols.

My advice is: learn the meaning of the symbols in our course or perish! Both the book and my instruction provide sufficient definitions of all the symbols. If you still can't understand some of them just ask for explanations in class or on Kodiak.

Now, an exercise! Please interpret, in your own words, the following expressions:

1. P(Speed > 85)

2. P(X >= 5 and X <= 10)

3. x: [P(X <= x)=0.9]

4. x | [P(X > x)=0.05]

5. P(| X | < 10)

6. P(| X | > 10)

7. P(| X – 5 | > 2)

Solutions

Expert Solution

orchestra answered 1 year ago

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