1) Using the normal distribution table, he answers: What is the probability that a random variable x is greater than 2.35?

a) less than -1.00

b) less than -2.30

c) greater than 1.45

d) between 1.00 and 2.10

e) between -1.7 and 2.8

f) greater than 3.26

g) less than -3.15

h) between -2.11 and 1.15

2) The meat department at a local supermarket specifically prepares its "1 pound" packets of ground beef, so that there is a variety of weights; some slightly larger and others slightly less than 1 pound. Suppose the weights of these "1 pound" packages are normally distributed with an average of 1.00 pounds and a standard deviation of 0.15 pounds (Mendenhall et al., 2015).

a. What proportion of the packages will weigh more than one pound?

b. What proportion of packages will weigh between 0.95 and 1.05 pounds?

c. What is the probability that a randomly selected pack of ground beef will weigh less than 0.80 pounds?

3) Studies show that gasoline use for compact cars sold in the United States is normally distributed, with an average of 35.5 miles per gallon (mpg) and a standard deviation of 4.5 mpg. What percentage of compacts travels 40 mpg or more? (Mendenhall et al., 2015)

4) The height of men is normally distributed, with an average of 69.0 inches and a standard deviation of 2.8 inches. The height of women is normally distributed, with an average of 63.6 inches and a standard deviation of 2.5 inches. The U.S. military requires women to measure between 58 and 80 inches. What percentage of women meet this requirement?

5) The average amount of rainfall in Puerto Rico over the past month was 3.5 inches, according to the National Weather Center. Suppose that a normal distribution can be used and that the standard deviation is 0.8 inches.

a. What percentage of the weather last month's rainfall was greater than 5 inches?

b. What percentage of the time was rainfall less than 3 inches?

c. A month is considered to be extremely wet if rainfall is 10% higher for that month. How much must the rainfall in April be for it to be considered an extremely wet month?