Probabilities for different intervals


Can someone please give me an example of, and explination of:

a) How to use standardization to look up probabilities for different intervals of Y, assuming a normal distribution for the population, e.g. Pr{Yy}, Pr{y1

b) Know the properties of the standard normal distribution.

c) How to calculate percentiles for data that follow a normal distribution.

d) How to interpret features of normal probability plots.

e) Know the Central Limit Theorem and why it's important in Biostatistics.

You can use any problem, so long as it's described in detail. Definitions alone won't work for me, I need examples if you please!

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Basic Statistics: Probabilities for different intervals
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