Based on the Normal model for snowfall in a certain town N(57,8),how many cm of snow would represent the 75th percentile?
A)62.4 cm
B)49 cm
C)65 cm
D)51.6 cm
E)42.8 cm

Question

Quizplus · Accepted Answer

The 75th percentile of a normal distribution can be found using the Z-score table or formula for the percentile in a normal distribution. The Z-score corresponding to the 75th percentile is approximately 0.674. Using the formula X = μ + Zσ, where μ is the mean (57 cm), σ is the standard deviation (8 cm), and Z is the Z-score (0.674), we calculate X = 57 + 0.674(8) = 57 + 5.392 = 62.392 cm, which rounds to 62.4 cm.

Based on the Normal Model for Snowfall in a Certain