Brain weights are normally distibuted with mean 1400.48 grams and standard deviation 106.33 grams. Find the 80th percentile of this distribution.

The 80th percentile of the distribution is 1,490.01 grams

Step-by-step explanation:

Here, we want to find the 80% of the distribution

80% means 80/100 = 0.8

We need to get the z-score equivalent to 80th percentile;

This is equal to 0.842

Mathematically;

z-score = (x - mean)/SD

we want to calculate x here;

0.842 = (x - 1400.48)/(106.33)

106.33(0.842) + 1400.48 = x

x = 1,490.00986 which is 1,490.01 grams to 2 decimal places

0.85% : )

step-by-step explanation: