6. GIVEN A BINOMIAL DISTRIBUTION WHERE N =35 AND THE PROBABILITY OF SUCCESS IS 16%, DETERMINE: A) E(X) B) P(X 2 2) 7. FIND THE MEAN, MEDIAN, AND MODE OF THE SET OF EXAM MARKS(%) FROM IN A CLASS OF 25 STUDENTS: 75 94 45 78 70 A) MEAN (2 D.P) = 52 80 55 87 63 B) MEDIAN = 80 56 89 35 5 C) MODE = 96 49 100 66 78 D) OUTLIER = 83 81 85 65 80 E) RANGE = F) SUPPOSE YOU ARE TOLD THAT A NORMAL DISTRIBUTION COULD BE USED TO MODEL THIS SITUATION. USE THE 25 PIECES OF DATAABOVE TO DETERMINE THE Z-SCORE FOR X = 66 & THEN USE THE Z-SCORE TO FIND THE GIVEN PROBABILITY P(X = 66) & P(X > 66). THE STANDARD DEVIATION IS S = 21. 526. (3 MARKS) I) X=66 Z-SCORE = II) P(X = 66) II) P(X > 66)