1) In Problems 1 through 4, given the information below. The scores of 15 students are listed in a 1 ) STEM-and-LEAF below. 6 |1 2 89 Key 6 | 1 = 61 7 10 3 3 6 7 9 1 1 4 58 9 Find the sample mean X=_ A) 79 B) 70 C) 74 D) 73 2) Find the sample variance s2= 2 ) A) 159 B) 13. 06 imates that C) 170 cople b for which D) 12. 61 3) Find the Inter-Quartile-Range, IQR = 3) A) 25 B) 30 C) 16 D) 9 4) Find the 85th Percentile, P.85= 4 ) A) 98. 5 B) 13. 6 C) 94. 3 D) 96. 5 5) A student asked Dr. Dai's birthday at randomly. Find the probability that Dr. Dai's birthday is 5 ) in MAY. (Ignore leap years), P[Dr. Dai's birthday is in MAY] = A) 31/365 B) 30/365 C) 28/365 D) 1/12 6) If a sample X = (X1 , X2, X3.......,X25 ), Xx=75, Xx2= 609, then sample variance s2= 6) A) 25 B) 49 C) 16 D) 36 7) In Problemes 7 and 8, given information: Dr. Dai's company has 200 employees. Of these 7) employees, 120 have degrees in Math (M), 100 have degrees in Economics (E) and 40 have degrees in both. Complete Venn Diagram below, then find the number of employees who has None of degrees in Math or Economics x = Math Economics II I X A) 15 B) 30 C) 25 D) 20 8) If that employee was randomly interview find P[ (M and EC) or (E and Mc) = 8) A) 90% B) 80% C) 60% D) 70%