1- What is the normal distribution for?

2- Using the normal distribution table, answer: 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

3- The meat department at a local grocery store specifically prepares their "1 pound" packages of ground beef, so there is a variety of weights; some slightly larger and some slightly less than 1 pound. Suppose the weights of these "1 pound" packages are normally distributed with a mean of 1.00 pounds and a standard deviation of .15 pounds (Mendenhall et al., 2015).

a. What proportion of the packages will weigh more than 1.5 pounds?

b. What proportion of the packages will weigh between 0.98 and 1.15 pounds?

c. What is the probability that a randomly selected package of ground beef weighs less than .90 pounds?