98 . .. PNP JOA:YY X 2 X PDF Slums dog ail dolo! 1 - 0.6 = P(F ) Misr International University Faculty of Computer Science Midterm Exam, Spring 2017 Course Code: BASI15 Total Score : 30 Course Title: Probability and Statistics Time allowed: 90 Minutes Instructors: Dr. Emad Yacoub & Dr. El-Amira Hend Said. The Exam Contains 4 Questions in TWO Pages. Programmable & Graphical Calculators are NOT allowed. Answer all questions: Be sure to write each question number and part number ahead of your answer. Question 1: (8 Marks) (A) Choose the correct answer for each of the following statements . Justify your answer : (5 Marks) 1. The average monthly high temperatures for the past seven months are: 68, 72, 44, 50, 45 and 60. What is the mode? (a) 72 (b) 50 (c) 44 (d)/ There is no mode for this data set 2 Suppose the events E and F are such that P(E) = 0.3 and P(F) = 0.6 Then (a) P(EUF) =1 (b) P(EnF) 20.1 (c) P(EnF) = 0.1 (d) P(EUF) 20.7 (3.) An experiment consists of 5 teams competing in a basketball tournament, with only one team occupying one place in the end of the competition. Then the respective sample space has (a) 150 outcomes (b) 25 outcomes (c) 50 outcomes (d) 120 outcomes 4. Suppose the events A and B are independent, with P(A) = P(B) = 0.2. Which of the following P (A/B ) = statements is false?" P(A) (@) A and A are independent 1%A and B are independent P(AnB) () A and B are not mutually exclusive (d) A and B are independent - PLA) . P (B ) "B) Consider the system diagrammed in Figure (1), which consists of 7 components having the reliabilities shown in that figure. Find the reliability (probability of success) of this system (4 Marks) 0.05 0.03 0.1 0.02 0.05 0.03 0.1 Figure (1) Question 2: (8 Marks) During the manufacture of hard disks, the height between the disk and the head, the headlift, must be controlled. One manufacturer recorded: 1239 01246 0215 0243 0239 024 02 8 01216 01243 01242 0.251 0.246 Calculate the coefficient of variation. (2 Marks) (B) Compute the median and the third quartile Q3. (2 Marks) (C)Compute the 4" decile and the 93" percentile. (2 Marks) (Dy Measurements from a larger hard disk have sample mean 0.280 and standard deviation 0.05. Which is relatively more variable? (2 Marks) Page 1 of 2 Scanned with CamScanner Question 3: (8 Marks) A large electronics store has 500 Sony TVs in stock that are assembled in 4 different factories called them A, B, C and D. 100 TVs are assembled in A, 125 in B, 200 in C and 75 in D. It is known that 2% of TVs assembled in A are defect, whereas for B, C and D these proportions are 0.025, 0.03 and 0.07, respectively. (i) What is the probability that a randomly selected TV is defective? (2 Marks) (ii) Suppose that a randomly selected TV was found defect. Find the probability that this device was assembled in D. (2 Marks) W DO DO PC lc Jewell DOC J! PDF 25 , lus Joncall jose Olgul