A paint machine dispenses dye into paint cans to create different shades of paint. The amount of dye dispensed into a can is known to have a normal distribution with a mean of 5 milliliters (ml) and a standard deviation of 0.4 ml. Answer the following questions based on this information. Find the dye amount that represents the 9th percentile of the distribution.
A) 5.536 ml
B) 4.464 ml
C) 4.936 ml
D) 4.836 ml
E) 4.964 ml

Question

Quizplus · Accepted Answer

The 9th percentile corresponds to a z-score of approximately -1.34. Using the formula X = μ + zσ, where μ = 5 ml and σ = 0.4 ml, the dye amount is 5 + (-1.34)(0.4) = 4.464 ml.

A Paint Machine Dispenses Dye into Paint Cans to Create