STATISTICS: I'm struggling with how to calculate the following problems:

*Assume that X~N(3,1.5)
For what value of X is Pr(x<K) = 50%

*Assume that X~N(3,1.5)
What value of X would be equal to a z-score of -2?

*Assume that X~N(3,1.5)
Find the 90% percentile

*Assume X~N(4.5,3) Assume you take a sample of size 20; what is the expected distribution?

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