Answer:
The mean of this distribution is approximately 3.96.
Step-by-step explanation:
Here's how to solve this problem using a normal distribution table.
Let
be the
.
In this question,
and
. The equation becomes
.
To solve for
, the mean of this distribution, the only thing that needs to be found is the value of
. Since
The problem stated that
. Hence,
.
The problem is that the normal distribution tables list only the value of
for
. To estimate
from
, it would be necessary to find the appropriate
Since
and is greater than
,
. As a result,
can be written as the sum of
and
. Besides,
. As a result:
.
Therefore:
.
Lookup
on a normal distribution table. The corresponding
-score is
. (In other words,
.)
Given that
Solve the equation
for the mean,
:
.
.