#### Answer

a) $0.9983$
b) $0.9370$
c) $0.8385$
d) $-0.52$
e) $0.1401$

#### Work Step by Step

a) We find the z-score:
$z=\frac{2.93−0}{1}=2.93$
Then, using the table of z-scores, we can find that the corresponding probability is $0.9983$.
b) We find the z-score:
z=\frac{-1.53−0}{1}=−1.53
Then, using the table of z-scores, we can find that the corresponding probability is $1−0.0630=0.9370$
c) We find the z-scores:
z=\frac{2.07−0}{1}=2.07
z=\frac{-1.07−0}{1}=−1.07
Then, using the table of z-scores, we can find that the corresponding probability is $0.9808−0.1423=0.8385.$
d) Using Microsoft Excel, we can see that this value is $-0.52$.
e) $z=\sqrt{\frac{0.27−0}{1/\sqrt{16}}}=1.08$
Then, using the table of z-scores, we can find that the corresponding probability is $1−0.8599=0.1401.$