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A national standard requires that public bridges over 20 feet in length must be inspected and rated every 2 years. The lalig scale ranges from 0 (poorest rating) to 9 (highest rating). A group of engineers used a probabilistic model to forecast the inspection ratings of all major bridges in a city. For the year 2020, the engineers forecast that 8% of all major bridges in that city will have ratings of 4 or below. Complete parts a and b. a. Use the forecast to find the probability that in a random sample of 10 major bridges in the city, at least 3 will have an inspection rating of 4 or below in 2020. P(x2 3) = (Round to five decimal places as needed.) b. Suppose that you actually observe 3 or more of the sample of 10 bridges with inspection ratings of 4 or below in 2020. What inference can you make? Why? Select the correct answer below. O A. Since the probability of this observation occurring is so large, it can be concluded that the forecast of 8% is too small. There would probably be more than 8%. O B. Since the probability of this observation occurring is so small, it can be concluded that the forecast of 8% is too large. There would probably be less than 8%. O C. Since the probability of this observation occurring is so large, it can be concluded that the forecast of 8% is too large. There would probably be less than 8%. O D. Since the probability of this observation occurring is so small, it can be concluded that the forecast of 8% is too smallI. There would probably be more than 8%.

A national standard requires that public bridges over 20 feet in length must be inspected and rated every 2 years. The lalig scale ranges from 0 (poorest rating) to 9 (highest rating). A group of engineers used a probabilistic model to forecast the inspection ratings of all major bridges in a city. For the year 2020, the engineers forecast that 8% of all major bridges in that city will have ratings of 4 or below. Complete parts a and b. a. Use the forecast to find the probability that in a random sample of 10 major bridges in the city, at least 3 will have an inspection rating of 4 or below in 2020. P(x2 3) = (Round to five decimal places as needed.) b. Suppose that you actually observe 3 or more of the sample of 10 bridges with inspection ratings of 4 or below in 2020. What inference can you make? Why? Select the correct answer below. O A. Since the probability of this observation occurring is so large, it can be concluded that the forecast of 8% is too small. There would probably be more than 8%. O B. Since the probability of this observation occurring is so small, it can be concluded that the forecast of 8% is too large. There would probably be less than 8%. O C. Since the probability of this observation occurring is so large, it can be concluded that the forecast of 8% is too large. There would probably be less than 8%. O D. Since the probability of this observation occurring is so small, it can be concluded that the forecast of 8% is too smallI. There would probably be more than 8%.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A national standard requires that public bridges over 20 feet in length must be inspected and rated every 2 years. The rating scale ranges from 0 (poorest rating) to 9 (highest rating). A group of engineers used a probabilistic model to forecast the inspection ratings of all major bridges in a city. For the year 2020, the engineers forecast that 8% of all major bridges in that city will have ratings of 4 or below. Complete parts a and b. a. Use the forecast to find the probability that in a random sample of 10 major bridges in the city, at least 3 will have an inspection rating of 4 or below in 2020. P(x2 3) = (Round to five decimal places as needed.) b. Suppose that you actually observe 3 or more of the sample of 10 bridges with inspection ratings of 4 or below in 2020. What inference can you make? Why? Select the correct answer below. O A. Since the probability of this observation occurring is so large, it can be concluded that the forecast of 8% is too small. There would probably be more than 8%. O B. Since the probability of this observation occurring is so small, it can be concluded that the forecast of 8% is too large. There would probably be less an 8%. O C. Since the probability of this observation occurring is so large, it can be concluded that the forecast of 8% is too large. There would probably be less than 8%. O D. Since the probability of this observation occurring is so small, it can be concluded that the forecast of 8% is too smallI. There would probably be more than 8%. Click to select your answer(s).
Transcribed Image Text:A national standard requires that public bridges over 20 feet in length must be inspected and rated every 2 years. The rating scale ranges from 0 (poorest rating) to 9 (highest rating). A group of engineers used a probabilistic model to forecast the inspection ratings of all major bridges in a city. For the year 2020, the engineers forecast that 8% of all major bridges in that city will have ratings of 4 or below. Complete parts a and b. a. Use the forecast to find the probability that in a random sample of 10 major bridges in the city, at least 3 will have an inspection rating of 4 or below in 2020. P(x2 3) = (Round to five decimal places as needed.) b. Suppose that you actually observe 3 or more of the sample of 10 bridges with inspection ratings of 4 or below in 2020. What inference can you make? Why? Select the correct answer below. O A. Since the probability of this observation occurring is so large, it can be concluded that the forecast of 8% is too small. There would probably be more than 8%. O B. Since the probability of this observation occurring is so small, it can be concluded that the forecast of 8% is too large. There would probably be less an 8%. O C. Since the probability of this observation occurring is so large, it can be concluded that the forecast of 8% is too large. There would probably be less than 8%. O D. Since the probability of this observation occurring is so small, it can be concluded that the forecast of 8% is too smallI. There would probably be more than 8%. Click to select your answer(s).
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