Question

He depth of the snow in my yard is normally distributed, with a mean of 2.5 inches and a standard deviation of 0.25 inches.

What value is one standard deviation below the mean?
2.25

What value is one standard deviation above the mean?


What is the probability that a randomly chosen location will have a snow depth between 2.25 and 2.75 inches?


Hint: Read the section on the empirical rule.

Answer 1

) mu-x = 1sigma = 0.25

x = mu - 0.25 = 2.5 - 0.25 = 2.25

2) x-mu = 1 sigma = 0.25

x = mu + 0.25 = 2.5+0.25 = 2.75

3) do you know if you have to use the empirical rule?

By the empirical rule, 68 percent data lies between +/- 1 sigma. So the answer is 68%

Step-by-step explanation