7. The annual 2-mile fun-run is a traditional fund-raising event to support local arts and sciences activities. It is known that the mean and standard deviation of finish times for this event are respectively H = 30 and o = 5.5 minutes. Suppose the distribution of finish times is approximately bell-shaped and symmetric. The approximate proportion of runners who finish in under 19 minutes. (a) 16% (b) 32% (c) 5% (d) 2.5% (e) 97.5% 8. A final grade is then assigned based on the overall score for the course. In a particular semester, the scores are normally distributed with a mean score of u = 78 and a standard deviation o = 6. Professor decides to give "A" to the top 14% of the students. What is the the minimum score a student can get and still get an "A"? (a) 84.5 (b) 90.0 (c) 89.8 (d) 85.7 (e) 87.9 9. Sample median measures the of the data; Sample standard deviation measures the of the data. (Input Variability or Central tendency) 10. 5-lb Bags of fresh peaches are sold at a farmers' market. 9 such bags are randomly sampled and the number of peaches in each bag is noted as follows: 6, 7, 7, 7, 6, 8, 6, 7, 8. The minimum value of the data is , first quartile Q1 is_ _ median is third quartile Q3 is maximum value is and the interquartile range (IQR) is 11. The number x of bottles of garden plant fungicide sold by a garden center each day was recorded with the following results: x 0 1 2 3 4 5 6 7 P(x) .135 .141 150 143 .134 122 .101 074 The probability that at most two bottles will be sold on a randomly selected day is about The average number of bottles sold per day is about 12. Professor Jackson oversees a program to prepare students for a high school equivalency exam. Records show that, in the program, 80% of the students need work in mathematics, 70% need work in English, and 55% need work in both areas. One person is to be randomly selected from this population of all students in the program. Let M = the selected person needs help in Mathematics, E = the selected person needs help in English (a) The probability that the selected person needs help in English and in Mathematics, i.e., P(E and M) is? (5pts)