Answer
a) .9983
b) .9370
c) .8385
d) -.52
e) .1401
Work Step by Step
a) We find the z-score:
$z = \frac{2.93-0}{1}=2.93$
Thus, using the table of z-scores, we find that this corresponds to a probability of $.9983$
b) We find the z-score:
$z = \frac{-1.53-0}{1}=-1.53$
Thus, using the table of z-scores, we find that this corresponds to a probability of $1-.0630=.9370$
c) We find the z-scores:
$z = \frac{2.07-0}{1}=2.07$
$z = \frac{-1.07-0}{1}=-1.07$
Thus, using the table of z-scores, we find that this corresponds to a probability of $.9808-.1423=.8385$
d) Using Microsoft Excel, we see that this value is -.52.
e) $z = \frac{.27-0}{1/\sqrt{16}}=1.08$
Thus, using the table of z-scores, we find that this corresponds to a probability of $1-.8599=.1401$
