1. Fill in the blanks. The 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 is the probability that a randomly chosen location will have a snow depth between 2.25 and 2.75 inches?

2.The annual rainfall in a certain region is approximately normally distributed with mean 41.5 inches and standard deviation 5.6 inches. Round answers to the nearest tenth of a percent.

a) What percentage of years will have an annual rainfall of less than 44 inches?Incorrect

%

b) What percentage of years will have an annual rainfall of more than 38 inches?Incorrect

%

c) What percentage of years will have an annual rainfall of between 37 inches and 42 inches?

3.A distribution of values is normal with a mean of 201.5 and a standard deviation of 16.3.

FindP₆₄, which is the score separating the bottom 64% from the top 36%.

P₆₄=

Enter your answer as a number accurate to 4decimal places.