1. A plastic bottle company is measuring the variation of the cap size that their newest machine produces. They gather the data from 1500
bottle caps and calculate the mean and standard deviation. The mean diameter of the bottle caps is 25 mm with a standard deviation of 1
mm. Draw a Normal Distribution curve for this situation (1 point). For each question, show your work.
a. Of the 1500 bottle caps measured, how many bottle caps measured between 24 and 26 mm? (1 point)
b. Of the 1500 bottle caps measured, how many bottle caps measured 25 mm or less? (1 point)
c. Of the 1500 bottle caps measured, how many bottle caps measured between 22 and 28 mm? (1 point)
d. If you randomly choose 1 bottle cap and measure it, what is the likelihood that it will be between 23 and 27 mm?(1 point)