The life of a certain brand of battery is normally distributed.
\The mean
and
.
(a) The battery will last less than
.
The probability of battery will last less than
is
.
The formula for
-values is
.
Substitute
,
and
.


.
The table value of
is
or
.
The probability of battery will last less than
is
.
(b) The battery will last more than
.
The probability of battery will last more than
is
.

.
The table value of
is
or
.
(c) The battery will last between
and
.
The probability of battery will last between
and
is
.
.
.
The
table value is
.
The
table value is
.
The probability of
is
or
.
(a)
.
(b)
.
(c)
.