Part A:
Finding the probability of P(Z < -1.27), we refer to the z-table to the left of the distribution and we have
Therefore
[tex]P(Z<-1.27)=0.10204[/tex]
Part B:
Doing the same process as above, however we also need to find the P(Z < 1.68)
Solving for P(-1.27 < Z < 1.68) we have
[tex]\begin{gathered} P\mleft(-1.27
Part C:Again we need to find first P(Z < 1.96) to the left of z
Since this probability is of P(Z < 1.96) , solve for P(Z > 1.96) by
[tex]\begin{gathered} P\mleft(Z>1.96\mright)=1-P\mleft(Z<1.96\mright) \\ P(Z>1.96)=1-0.97500 \\ \\ \text{Therefore,} \\ P(Z>1.96)=0.02500 \end{gathered}[/tex]
