Statistics
Al-Azhar Unv. - Fac. Of Engineering (Girls). 2nd year- Second Term 2019-2020 (39) The frequency distribution table of data is Final Exam - Statistics and Probability (A) Class Intervals 65.5-67.5 67.5-69.5 69.5-71.5 71.5-73.5 73.5-75.5 frequency 2 13 25 17 3 (B Class Intervals 75.5-77.5 77.5-79.5 79.5-81.5 81.5-73.5 83.5-85.5 frequency 2 13 25 17 3 (C Class Intervals 65.5-67.5 67.5-69.5 69.5-71.5 71.5-73.5 73.5-75.5 frequency 15 25 15 3 (D) Class Intervals 55.5-67.5 57.5-59.5 59.5-61.5 61.5-63.5 63.5-65.5 frequency 2 13 25 17 3 (40) The relative frequency table of data is (A ) Class Intervals 65.5-67.5 67.5-69.5 69.5-71.5 71.5-73.5 73.5-75.5 frequency 0.05 0.25 0.45 0.25 0.05 (B ) Class Intervals 65.5-67.5 67.5-69.5 69.5-71.5 71.5-73.5 73.5-75.5 frequency 0.03 0.20 0.42 0.25 0.05 (C ) Class Intervals 65.5-67.5 67.5-69.5 69.5-71.5 71.5-73.5 73.5-75.5 frequency 0.03 0.22 0.42 0.28 0.05 (D ) Class Intervals 75.5-77.5 77.5-79.5 79.5-81.5 81.5-83.5 83.5-85.5 frequency 0.03 0.22 0.42 0.28 0.05 >>>> For Q. 41 - 42: Suppose that you have four 10 km segments to your automobile trip. You drive your car: (1) 100 km/hr for the first 10 km (2) 110 km/hr for the second 10 km (3) 90 km/hr for the third 10 km (4) 120 km/hr for the fourth 10 km (41) Then the appropriate mean to calculate average speed (velocity) for your tripe is A Arithmetic mean B Harmonic mean Geometric mean D Median (42) The value of average speed (velocity) for your tripe (km/h) is A 105 B 103.8 C 30 D 100 (43) The probability that any one of two engines on an aircraft will not fail is 0.95. Assuming that both engines operate independently of each other, the probability that both engines will not fail is: (A) 0.95x 0.95 (B) 0.05x0.05 (C) 0.95+0.95 (D) 0.05+0.05 (44) If P(A) = 0.5 , P(B) = 0.3 and P(A B) = 0.5, then P(AU B) is equal to: (A) 0.30 (B) 0.65 (C) 0.50 (D) 0.40 (45) If A and B are two mutually exclusive events with P(A) = 0.15 and P(B) = 0.4, then P(A and not B) is: (A) 0.85 (B) 0.60 (C) 0.15 (D) 0.40 *>> For Q. 46 - 49: Disks of polycarbonate plastic from a supplier are analyzed for scratch and shock resistance. The results from 100 disks are summarized as follows: Shock resistance High Low Scratch | High 70 10 resistance Low 16 4 (46) If a disk is selected at random, the probability that its scratch resistance is high and its shock resistance is high is (A) 0.7 (B)0.05 (C) 0.95 (D) 0.2 (47) If a disk is selected at random, the probability that its scratch resistance is high or its shock resistance is high is (A) 0.7 (B)0.05 (C) 0.96 (D) 0.2 Page 5 of 12
