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Review 3 MAT 1190 Problem 1. On the Price Is Right game show, a contestant spins a wheel with numbers 1 through 7, with equally sized regions for each of these numbers. If the contestant spins once, find the probability that the number is (a) A 6. (b) An even number. (c) A number greater than 4. (d) A number less than 8. (e) A number greater than 7. Problem 2. A spinner has 4 equally likely regions numbered 1 to 4. The arrow is spun twice. What is the probability that the spinner will land on a 1 on the first spin and on a red region on the second spin? Draw a tree diagram to represent your answer. Problem 3. Find the interest on $50,000 compounded weekly at 7% for 20 years. Assume a 52-week year. Problem 4. The following data represent the record high temperatures for each of the 50 states. (a) Construct a grouped frequency distribution for the data using 7 classes. (b) Draw a histogram for the frequency distribution (c) Draw a frequency polygon 112 110 107 116 120 100 118 112 108 113 127 117 114 110 120 120 116 115 121 117 134 118 118 113 105 118 122 117 120 110 105 114 118 119 118 110 114 122 111 112 109 105 106 104 114 112 109 110 111 114 Problem 5. In January of 2006, your family moved to a tropical climate. For the year that followed, you recorded the number of rainy days that occurred each month. Your data contained 14, 14, 10, 12, 11, 13, 11, 11, 14, 10, 13, 8. MAT 1190 Problem 1. (a) Review 2: Answers 3 3 3 (b) (c) (d) 1 (e) 0 7 7 7 Problem 2. 1/8 Problem 3. $152,569.20 Problem 4. Class Limits Frequency 100 - 104 105 - 109 110 - 114 115 - 119 120 - 124 125 - 129 130 - 134 2 8 18 13 7 1 1 Problem 5. mean 11.75 mode 11, 14 median 11.5