SOLUTION: A national standard requires that public bridges over 20 feet in length must be inspected and rated every two years. The rating scale ranges from 0 (poorest rating) to 9 (highest r

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Question 765989: A national standard requires that public bridges over 20 feet in length must be inspected and rated every two 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 2020 the engineers forecast that 5% of all major bridges in that city will have ratings of 4 or below.
Use the forecast to find the probability that in a random sample of 8 major bridges in the city, at least 3 will have an inspection rating of 4 or below in 2020.
P(x greater than or equal to 3) round to 5 decimal places:

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Q:
A national standard requires that public bridges over 20 feet in length must be inspected and rated every two 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 2020 the engineers forecast that 5% of all major bridges in that city will have ratings of 4 or below.
Use the forecast to find the probability that in a random sample of 8 major bridges in the city, at least 3 will have an inspection rating of 4 or below in 2020.
P(x greater than or equal to 3) round to 5 decimal places:
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A:
P(X ≥ 3) = sum%28%28matrix%282%2C1%2C8%2Cx%29%29%280.05%5Ex%29%280.95%5E%288-x%29%29%2Cx+=+3%2C8%29 = highlight%280.00579%29