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 6​% 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 7 major bridges in the​ city, at least 3 will have an inspection rating of 4 or below in 2020. P(x≥​3)=

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 8PPS
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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
6​%
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
7
major bridges in the​ city, at least 3 will have an inspection rating of 4 or below in 2020.
P(x≥​3)=
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