Find the following probabilities for the standard normal

random variable z:

a.$\mathbf{P}\mathbf{(}\mathbf{z}\mathbf{\le }\mathbf{2}\mathbf{.}\mathbf{1}\mathbf{)}$

b.$\mathit{P}\mathit{(}\mathit{z}\mathit{\ge }\mathit{2}\mathit{.}\mathit{1}\mathit{)}$

c.$\mathit{P}\mathbf{(}\mathit{z}\mathbf{\ge }\mathbf{-}\mathbf{1}\mathbf{.}\mathbf{65}\mathbf{)}$

d.$\mathit{P}\mathbf{(}\mathbf{-}\mathbf{2}\mathbf{.}\mathbf{13}\mathbf{\le }\mathit{z}\mathbf{\le }\mathbf{-}\mathbf{.}\mathbf{41}\mathbf{)}$

e.$\mathit{P}\mathit{(}\mathit{-}\mathit{1}\mathit{.}\mathit{45}\mathit{\le }\mathit{z}\mathit{\le }\mathit{2}\mathit{.}\mathit{15}\mathit{)}$

f.$\mathit{P}\mathbf{(}\mathit{z}\mathbf{\le }\mathbf{-}\mathbf{1}\mathbf{.}\mathbf{43}\mathbf{)}$

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