Answer:
$2,611.9.
Explanation:
To find the operating cost for the lowest 2% of the airplanes, we need to find the corresponding z-score from the standard normal distribution using a z-table.
Using the formula:
z = (x - μ) / σ
where x is the cost we are interested in, μ is the mean cost, and σ is the standard deviation.
For the lowest 2% of airplanes, the z-score can be found by looking up the area to the left of z in the z-table. This area is 0.02.
Looking up 0.02 in the z-table gives a z-score of approximately -2.05.
So we have:
-2.05 = (x - 3403) / 398
Solving for x, we get:
x = -2.05 * 398 + 3403 = $2,611.9
Therefore, the operating cost for the lowest 2% of the airplanes is approximately $2,611.9.