1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Makovka662 [10]
2 years ago
10

A national standard requires that public bridges over 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 ​% 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 major bridges in the​ city, at least 3 will have an inspection rating of 4 or below in 2020. ​P(x​3) nothing ​(Round to five decimal places as​ needed.)
Mathematics
1 answer:
ankoles [38]2 years ago
7 0

Answer:

The answer is below

Step-by-step explanation:

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 4​%of all major bridges in that city will have ratings of 4 or below.

a. Use the forecast to find the probability that in a random sample of major bridges in the​ city, at least 3 will have an inspection rating of 4 or below in 2020.

Answer:

This problem is a probability binomial distribution and it can be solved using the formula:

P(X=x)=C(n,x)p^xq^{n-x}\\\\q=1-p,C(n,x)=\frac{n!}{x!(n-x)!}

Hence the solution to the problem is given as:

P(x ≥ 3) = 1 - P(x < 3) = 1 - [ P(x=0) + P(x=1) + P(x = 2)]

Given that p = 4% = 0.04, q = 1 - p = 1 - 0.04 = 0.96, n = 10. Hence:

P(x=0)=C(10,0)*0.04^{0}*(0.96)^{10-0}=0.6648\\\\P(x=1)=C(10,1)*0.04^{1}*(0.96)^{10-1}=0.277\\\\P(x=2)=C(10,2)*0.04^{2}*(0.96)^{10-2}=0.0519\\\\P(x\geq 3)=1-[0.6648+0.277+0.0519]=0.0063

You might be interested in
Every recurring decimal is​
prisoha [69]

Answer:

Every repeating or terminating decimal is a rational number

Each repeating decimal number satisfies a linear equation with integer coefficients, and its unique solution is a rational number.

6 0
3 years ago
Solve the equation. 3.4 = –13.6 + (–3.4c) + 1.7c <br>      –4<br>    2<br>    –8 <br>   –10
Daniel [21]
The answer is  D . c=10
7 0
3 years ago
Select from the drop-down menus to correctly complete each statement<br> Helpppp:(
Murljashka [212]
Reflection across the y-axis and with a scale factor of 2
4 0
3 years ago
Please solve this <br> Thanks
g100num [7]
13.) 2.6 + 10.4 = x
14.) x = 13 liters
15.) The solution represents how much water the container now have.
(I’m sorry if my english is bad, but I hope this helps!)
7 0
2 years ago
How many<br> edges does a polyhedron with 8<br> faces and 12 vertices have?
Savatey [412]

Answer:

18 edges

Step-by-step explanation:

v-e+f=2

number of vertices(12) - number of edges (18) + number of faces(8) = 2

7 0
2 years ago
Read 2 more answers
Other questions:
  • What i want to know is what is -x=-3+2
    5·2 answers
  • What is the scale factor in the dilation? On a coordinate plane, triangle A B C has points (4, 4), (7, 8), (10, 4). Triangle A p
    5·2 answers
  • in the diagram, a building casts a 35-ft shadow and a flagpole casts a 10-ft shadow. if the flagpole is 22tall, how tall is the
    5·1 answer
  • 3³+1x9+12 answer please, I really think it's 48.
    9·2 answers
  • Roger drives 256km and uses 20l of fuel. what is his average fuel consumption for 100km?
    14·1 answer
  • A circular garden has a circumference of 138 yards. Lars is digging a straight line along a diameter of the garden at a rate of
    15·2 answers
  • 1. 8x + 5 and 10x-3 <br><br><br> Simplify the expression
    10·2 answers
  • Select all ratios equivalent to 5:2<br><br> A) 25:10<br> B) 10:4<br> C) 4:1
    8·2 answers
  • Find the sum of: (4.3 x 10¹¹) + (9.2 x 10¹²) *
    13·1 answer
  • A dairy made 97.01 ounces of yogurt. Then a local market bought 84 ounces of the yogurt. How much yogurt does the dairy have lef
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!