Question

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 and a standard deviation of 0.4 milliliters. Find the dye amount that represents the
99th percentile of the distribution.
Select one:
O a. 4.1 milliliters
O b. 5.9 milliliters.
O c. 4.9 milliliters
O d. 5.1 milliliters

Answer 1

b. 5.9 mL

Explanation:

You want the value that represents the 99th percentile of a normal distribution with a mean of 5 mL and a standard deviation of 0.4 mL.

Inverse normal

The inverse of the normal CDF function is used to find the X value for a given area. Here, we want X such that P(x < X) = 0.99 for μ = 5 and σ = 0.4.

The attached calculator output shows that is about X = 5.9305. Rounded to 1 decimal place, the volume is ...

5.9 mL

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