The annual snowfall in a town (in cm)can be represented by the Normal model N(45,7.1).What amount of snowfall would you expect to be unusually high for this town?
A)48.55 cm
B)37.9 cm
C)23.7 cm
D)66.3 cm
E)52.1 cm

Question

Quizplus · Accepted Answer

To determine what amount of snowfall would be considered unusually high, we need to find the value that is more than 2 standard deviations above the mean. Using the formula z = (x - μ)/σ, we can find the z-score for this value:
z = (x - 45)/7.1
Since we want to find the value that is more than 2 standard deviations above the mean, we can set z = 2:
2 = (x - 45)/7.1
Simplifying this equation, we get:
14.2 = x - 45
x = 59.2
Therefore, any snowfall amount that is greater than 59.2 cm would be considered unusually high for this town. Among the given choices, D) 66.3 cm is the only one greater than 59.2 cm, so it is the best choice.

The Annual Snowfall in a Town (In Cm)can Be Represented