all... PNP o AY98تحریرإضافةإضافة النص بسهولة في مستندات PDF1-06, - 0.6 - * PE)Misr International UniversityFaculty of Computer ScienceMidterm Exam, Spring 2017Total Score : 30Time allowed: 90 MinutesCourse Code: BASI15Course Title: Probability and StatisticsInstructors: 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 vour answer.Question 1: (8 Marks)(A)Choose the correct answer for each of the following statements Justify vour answer: (5 Marks)1. The average monthly high temperatures for the past seven months are: 68, 72, 44, 50, 45 and 60What is the mode?(a) 72(b) 50(c) 44(d)There is no mode for this data setSuppose 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(3JAn experiment consists of 5 teams competing in a basketball tournament, with only one teamoccupying one place in the end of the competition. Then the respective sample space has(a) 150 outcomes (b) 25 outcomes (e) 50 outcomes ((d) 120 outcomes4. Suppose the events A and B are independent, with P(A) - P(B) - 0.2. Which of the followingP(A/B). statements is false?P(A) () A and Ā are independentP(AOB) ) A and Bare not mutually exclusivePLA). PIB)N,Consider the system diagrammed in Figure (1), which consists of 7 components having the reliabilitiesshown in that figure. Find the reliability (probability of success) of this systemDAÃ and Bare independenty(d) A and Bare independent(4 Marks)0.05H 0.030.10.020.06 H 0.03 -0.1Figure (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:UCalculate the coefficient of variation.Compute the median and the third quartile Q.YC)Compute the 4" decile and the 93d percentile.OjMeasurements from a larger hard disk have sample mean 0.280 and standard deviation 0.05, Which isrelatively more variable?(2 Marks)(2 Marks)(2 Marks(2 Marks)Page I of 2Scanned with CamScannerQuestion 3: (8 Marks)WA large electronics store has 500 Sony TVs in stock that are assembled in 4 different factories calledthem 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 0.023, 0.03 and 0.07,respectively.(i) What is the probability that a randomly selected TV is defective?(i) Suppose that a randomly selected TV was found defect. Find the probability that this device wasassembled in D.(2 Marks)(2 Marks)DODםأدواتالتعديل على PCPDF إلى DOCمشاركةعرض المحمولfocese

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A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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10) An airline recorded the number of on-time arrivals for a sample of 100 flights each day. The boxplot below summarizes the records data for one year. 70 80 90 100 Number of On-Time Arrivals Based on the boxplot, which of the following statements must be true? (A) The range of the number of on-time arrivals is greater than 90. (B) The interquartile range of the number of on-time arrivals is 22. (C) The number of days that had at least 80 on-time arrivals is greater than the number of days that had at most 76 on-time arrivals. (D) The number of days that had from 76 to 80 on-time arrivals is equal arrivals. (E) The difference between the median and the lower quartile for the number of on-time arrivals is less than 2. the number of days that had at 76 on-time 11) Which of the following can outliers affect significantly? I. Mean II. Median III. Standard deviation IV. Range V. Interquartile range (A) I, III, and V (B) II and IV (C) I and V (D) I, III, and IV (E) None of these choices…
You may need to use the appropriate appendix table or technology to answer this question The mean number of sick days an employee takes per year is believed to be about 10. Members of a personnel department do not believe this figure. They randomly survey & employees. The number of sick days they took for the past year are as fo 11:5, 14, 4; 10 215 5. Let x the number of sick days they took for the past year. Should the personnel team believe that the mean number is about 107 Conduct a hypothesis est at the 3% State the nul and alterative hypotheses (n days) (Enter for as needed) M₂ MA What is the best statatic) (Round your answer to two decimal places) What are the critical values)? ( using the detribution round your answers) to two decimal places, et distration round your answers) to three decinal places. Enter NONE for any unused answer bank) uppertal What is the decision of the test and what conclusions can be down At the At the level of significance we would fail to reject H, and…
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