) In the Normal distribution, most of the data values are clustered in the middle close to the mean and median, and the quantity slowly decreases the further out you go. Some types of data that are normally
distributed are heights of males and females, IQ’s, and standardized test scores. Another example can be the
life span of a cell-phone battery. Say the mean life span of a certain battery is 30 months with a standard
deviation of 3 months.
a) Draw the normal shaped bell curve and denote the values that are one, two, and three standard deviations
away from the mean.
b) What is the probability that a randomly selected battery has a life span greater than 33 months?
c) What is the probability that a randomly selected battery has a life span that is less than 24 months?