f. The symbol s, represents the standard deviation of a sample. ______________________10. [6] Determine whether the following variables are categorical or quantitative, by writingquantitative or categorical on the line provided.a. Monthly gasoline expense. ______________________b. The name of a magazine that is purchased. ______________________11. [4] (1) In the grocery stores you can buy a sack of potatoes weighing five pounds (written on the package isthe weight of five pounds). In order to sell such a sack, the weight of the potato sack must be at least five

pounds. Because potatoes come in whole units, a potato, the package actually exceeds the five pounds. Supposethat the weights of the packages are normally distributed with a mean weight of 6.5 pounds and a standarddeviation of 0.5lb. Let the random variable X, denoted the weight of a bag of potatoes. Use probability notationto express your work and result. Write your final result in a sentence. Using the 68-95-99.7 rule whatpercentage of potato bags will weigh less than 5lbs? Use function notation to represent the question and youranswer as shown in module 3.12. The histogram shows the data for all 50 states, and the District ofColumbia, (United States), of the millions of metric tons of CO2released in the year 2005 by the use of coal as fuel.a. [3] What shape would you say that this distribution has?1314b. [3] You are told that the median amount of CO2 released is 35.9 millions of metric tons. Would theaverage be larger than 35.9 or smaller than 35.9?13. [4] Find the median of {23, 33, 10, 15, 45, 44, 60, 71, 65}14. [4] What is a z-score?15. [4] How much area is underneath any density curve?16. [4] Create a split stemplot of the following data set{33, 39, 55, 58, 98, 120, 129, 130, 145, 155, 178, 220, 254,