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An industrial engineer has found that when she takes a sample of size 5 of a product, 90% of the time there are no defectives in the sample, 3% of the time there is 1 defective, 2% of the time there are 2 defectives, 2% of the time there are 3 defectives, 2% of the time there are 4 defectives, and 1% of the time there 5 defectives. What is the probability of taking a sample that has least 3 defectives in the 5? A. 7% C. 9% B. 5% D. 15%

An industrial engineer has found that when she takes a sample of size 5 of a product, 90% of the time there are no defectives in the sample, 3% of the time there is 1 defective, 2% of the time there are 2 defectives, 2% of the time there are 3 defectives, 2% of the time there are 4 defectives, and 1% of the time there 5 defectives. What is the probability of taking a sample that has least 3 defectives in the 5? A. 7% C. 9% B. 5% D. 15%

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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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Kindly please answer numbers 41-43 questions. Since your policy is at-least maximum with 3 per sub questions is okay. This is of my reviewer.
38. The wagon wheel has a diameter of 28 inches and an angle of 30° between the spokes. What is the length of the arc s (to the nearest hundredth of an inch) between two adjacent spokes? [Hint: use the formula s = re to get the arc length] A. 7.37 inches. C. 3.77 inches D. 3.33 inches. B. 7.33 inches 39. A ramp meter operates during the morning peak period. Ramp meter cycles vary with time as shown in the table below. The metering scheme allows one vehicle per cycle to pass. the signal. The table below gives the number of vehicles demanding service on the ramp during particular time intervals, the cumulative demand for the ramp for the morning peak, and the ramp meter cycle for each interval. What are the service rates for meter cycle 12, 10, and 6? Time period Cumulative Meter cycle, volume 15-min volume S 6:30 6:45 75 75 6 6:45 - 7:00 100 175 10 7:00 7:15 125 300 12 7:15 7:30 110 410 12 7:30 7:45 80 490 10 7:45 8:00 65 555 6 A. 85, 65, 145 veh B. 150, 90, 75 veh C. 145, 65, 85 veh D. 75, 90, 150 veh 40. The formula log (1-k) = -0.3/H models the relationship between the half-life H of a radioactive material and its. rate of decay k. Find the rate of the decay of the iodine isotope 1-131 if its half-life is 8 days. Round to four decimal places. A. 0.1827 C. 0.0627 D. 0.0827 B. 0.3827 41. An industrial engineer has found that when she takes a sample of size 5 of a product, 90% of the time there are no defectives in the sample, 3% of the time there is 1 defective, 2% of the time there are 2 defectives, 2% of the time there are 3 defectives, 2% of the time there are 4 defectives, and 1% of the time there 5 defectives. What is the probability of taking a sample that has least 3 defectives in the 5? A. 7% B. 5% C. 9% D. 15% 42. A circle has its center at (3, line 3x + 4y - 26= 0. Compute circle. -27). It is tangent to the the point of tangency of the C. (6, 2) A. (3, 4) B. (2, 6) D. (3, 6) 43. A rectangular swimming pool is 12 meters long and 8 meters. wide. A tile border of uniform width is to be built around. the pool, using 120 square meters of tile. The tile is from a discounted stock (so no additional materials are. available), and all 120 square meters are to be used. How wide should the border be? A. 5.4 meters C. 3.4 meters D. 4.4 meters. B. 2.4 meters
Transcribed Image Text:38. The wagon wheel has a diameter of 28 inches and an angle of 30° between the spokes. What is the length of the arc s (to the nearest hundredth of an inch) between two adjacent spokes? [Hint: use the formula s = re to get the arc length] A. 7.37 inches. C. 3.77 inches D. 3.33 inches. B. 7.33 inches 39. A ramp meter operates during the morning peak period. Ramp meter cycles vary with time as shown in the table below. The metering scheme allows one vehicle per cycle to pass. the signal. The table below gives the number of vehicles demanding service on the ramp during particular time intervals, the cumulative demand for the ramp for the morning peak, and the ramp meter cycle for each interval. What are the service rates for meter cycle 12, 10, and 6? Time period Cumulative Meter cycle, volume 15-min volume S 6:30 6:45 75 75 6 6:45 - 7:00 100 175 10 7:00 7:15 125 300 12 7:15 7:30 110 410 12 7:30 7:45 80 490 10 7:45 8:00 65 555 6 A. 85, 65, 145 veh B. 150, 90, 75 veh C. 145, 65, 85 veh D. 75, 90, 150 veh 40. The formula log (1-k) = -0.3/H models the relationship between the half-life H of a radioactive material and its. rate of decay k. Find the rate of the decay of the iodine isotope 1-131 if its half-life is 8 days. Round to four decimal places. A. 0.1827 C. 0.0627 D. 0.0827 B. 0.3827 41. An industrial engineer has found that when she takes a sample of size 5 of a product, 90% of the time there are no defectives in the sample, 3% of the time there is 1 defective, 2% of the time there are 2 defectives, 2% of the time there are 3 defectives, 2% of the time there are 4 defectives, and 1% of the time there 5 defectives. What is the probability of taking a sample that has least 3 defectives in the 5? A. 7% B. 5% C. 9% D. 15% 42. A circle has its center at (3, line 3x + 4y - 26= 0. Compute circle. -27). It is tangent to the the point of tangency of the C. (6, 2) A. (3, 4) B. (2, 6) D. (3, 6) 43. A rectangular swimming pool is 12 meters long and 8 meters. wide. A tile border of uniform width is to be built around. the pool, using 120 square meters of tile. The tile is from a discounted stock (so no additional materials are. available), and all 120 square meters are to be used. How wide should the border be? A. 5.4 meters C. 3.4 meters D. 4.4 meters. B. 2.4 meters
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