Additional Notes – Different Inequalities Involved

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Answer:Left tail: $P(Z<a)>0.25\iff a>-0.67449$, and $P(Z<a)<0.25\iff a<-0.67449$. Right tail: $P(Z>a)>0.25\iff a<0.67449$, and $P(Z>a)<0.25\iff a>0.67449$.

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