Statistics Lesson 1 Homework Assignment I. Define each of the following as classical (C), empirical (E), or subjective (S) probability. ________ a) The probability that it will rain today. ________ b) The probability of rolling a 2 on a die. ________ c) The probability that my lawnmower won’t start at the beginning of the mowing season. ________ d) The probability of drawing an ace from a deck of cards. ________ e) The probability of having at least one car accident in your lifetime. ________ f) The probability of winning the lottery. II. Based on the properties of probability, and the formulas for calculating classical and empirical probabilities, answer the following questions. ________ a) Which of the following are valid probabilities? a. b. c. d. e. f. 85% ½ 156% 1 –7 0 b) You are spinning a roulette wheel with the numbers 1 through 36. i) What is the sample space? Use set notation to write your answer. ______________________________________________________ ii) What is the subset of the sample space that indicates spinning a multiple of 3? Use set notation to write your answer. ________________________________ iii) What is the probability that you will spin a multiple of 3? Write your answer as a fraction, decimal, and percent. ________________________________ iv) What is the probability that you will not spin a multiple of 3? Write your answer as a fraction, decimal, and percent. _______________________________ c) If there are 45 diners in a restaurant and 4 order coffee, 10 order tea, and 31 order soda, what are the probabilities of a diner ordering each? Write your answer as a percent. Round to the nearest percent. P[Soda] = __________ P[Coffee] = _________ P[Tea] = __________ What is the sum of these probabilities? ____________ What does this mean? _____________________________________________________ ___________ d) Your friend has a drawer full of black t-shirts and white t-shirts. If the probability that he chooses a black t-shirt at random is 3/5, what is the probability he will choose a white one? e) You have a small bag of candies. In the bag are 3 red, 4 yellow, 2 green, and 5 blue candies. What is the probability that you will choose a green candy at random? Write your answer as a fraction, decimal, and percent. _______________________________________