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.)

Answers

Answer 1

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:

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

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:

[tex]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[/tex]


Related Questions

Miki bought some erasers at the school store for $0.39. After
paying for the erasers, she had $0.13 left. Which amount is a
reasonable estimate of the money Miki had to start with?

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She either had $0.52 or more because it doesn’t say how many erasers she got

tina eats 8 crackers for a snack each day at school. on Friday she drops 3 and only eats 5. how many did tina eat during the week?​

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Answer:

52

Step-by-step explanation:

8x5-3+5=?

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Answer:

Airplanes

Step-by-step explanation:

Aviation is the Airplanes and they need to take off on their flight on their way for Visit! Welcome Aboard!

Answer:

10h and 9 min

Step-by-step explanation:

}−2x+2y=−4
{3x+3y=−18
find the solution to the systems of equations

Answers

Answer:

Answer=

x=(-2),y=(-4)

and in components form,

(-2,-4)

Step-by-step explanation:

equation1 (-2x+2y=-4)

equation2 (3x+3y=-18)

(times equation 1 by 3 and times equation 2 by 2, to make the y values equal to each other)

E1 (-6x+6y=-12)

E2 (6x+6y=-36)

(subtract both equations from each other)

-6x+6y=-12

-

6x+6y=-36

=(-12x=24)

so, x=24÷-12=-2

(then we sub the value of x into one of the equations- the new one or the old one)

3x+3y=-18

(3×-2)+3y=-18

3y=-18+6=-12

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What is the angle relationship?

Answers

the measurement of Angle 1 is 61 degrees.

Which set of numbers best describes the possible values of x in the equation below?
[x-1] = [x]

a. all integer values of x
b. all real number values of x
c. only negative values of x
d. only non-integer values of x

Answers

C only negative values of x

The set of numbers best describes the possible values of x in the equation is option c. only negative values of x.

Calculation of the possible values of x;

Since the equation is

x - 1 = x

So, here the x should be canceled out

So, it should be like

0 = -1

Hence, we can say that

The option c is correct,

And, the rest of the options are incorrect.

Learn more about number here: https://brainly.com/question/14938106

In Earnest's yard, the grass grew 2 inches. The next week, Earnest cut 2 inches off of the grass. The total change was 0 inches. Which of the following situations
also has a total change of 0?
I put 5 pounds of birdseed in the feeder. Then, birds ate 5 pounds of birdseed.
It rained 2 inches on Tuesday. Then, it rained 2 inches on Wednesday.
It Snowed 4 inches last week. Then, 8 inches of snow melted during this week.
A farmer sold 3 bushels of apples last week. Then, she sold 6 bushels of apples this week.

Answers

Answer:

The answer is the first one, I put 5 pounds of birdseed and he ate 5 pounds, leaving you with none, or zero.

Step-by-step explanation:

Write an equation in slope-intercept form of the line
4. with slope -6 that contains a point (8,-6)

Answers

Answer:

y=-6x+42

Step-by-step explanation:

answer is able

How can you write the expression 7b-2) in words?

Answers

Answer:

D :)

Step-by-step explanation:

Answer:

The answer is d

Hello Can someone help me please???

What is the factored form of 5x2 – 19x + 12?
A.) (5x – 3)(x – 4)
B.) (5x – 4)(x – 3)
C.) (5x – 12)(x – 1)
D.) (5x – 1)(x – 12)

Answers

B. (5x-4)(x-3)
Explanation: Multiply using distributive property to get 5x^2-19x+12

Answer:

pretty sure its B

Step-by-step explanation:

hope this helps ;)

angle 4 and angle 5 are ??? angles will mark brainiest ​

Answers

Answer:

Alternate interior

Step-by-step explanation:

They are inside making them interior angles and they are on opposite sides making them alternate angles as well.

Hope this helps!

Answer:

alternate interior

Step-by-step explanation:

alternate interior angles are congruent if and only lines are parallel.

∠4 ≅ ∠5

x/2.4+39=239
show work

Answers

Answer:  x = 480

Steps: x/2.4 + 39 = 239

Subtract 39 from both sides: x/2.4 + 39 - 39 = 239 - 39

Simplify: x/2.4 = 200

Multiply both sides by 2.4: x/2.4  ×  2.4 = 200 ×  2.4

Simplify: x = 480

Plz mark brainliest:)

Please help me with this math question

Answers

I believe the answer is D

If f(x) = 3x2 + 2x - 2, find f(8) - f(-5)

Answers

Answer: 143

Step-by-step explanation:

f(8) = 3(8)^2 + 2*8 - 2 = 3*64 + 16 - 2 = 192 + 16 - 2 = 206

f(-5) = 3(-5)^2 + 2*(-5) - 2 = 3*25 + (-10) -2 = 75 - 10 - 2 = 63

f(8) - f(-5) = 206 - 63 = 143

Find the volume of the solid that lies under the plane 3x + 2y + z = 12 and above the rectangle. $$ R = \{(x,y) | 0\le x \le {\color{red}1}, -{\color{red}2} \le y \le {\color{red}4} \} $$

Answers

Answer:

51 cubic units

Step-by-step explanation:

[tex]3x+2y+z=12\\\Rightarrow z=12-3x-2y[/tex]

Now we integrate over volume integral over the range [tex]R = \{(x,y) | 0\le x \le {1}, -{2} \le y \le {4} \}[/tex]

[tex]V=\int_0^1\int_{-2}^4 12-3x-2y dydx\\ =\int_{-2}^4 12y-3yx-y^2|_4^{-2} dx\\ =\int_{0}^1 12\times4-3\times4x-16-[12\times-2-3\times-2x-4]dx\\ =\int_{0}^1 60-18xdx\\ =60x-9x^2|_{0}^1\\ =60-9\\ =51\ \text{cubic units}[/tex]

The volume of the solid is 51 cubic units.

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Answers

Answer:

[tex]x^2 + 10x -24 = 0 \: \\ is \: equivalent \: to \: ( x + 2) {}^{2} + 10x - 36=0[/tex]

Step-by-step explanation:

[tex]x^2 + 10x -24 = 0 \\ x^2 + 12x - 2x -24 = 0 \\x(x + 12) - 2(x + 12) = 0 \\ (x - 2)(x + 12) = 0[/tex]

$20,500 at 7% for 3 years,

Answers

Answer:

If it is simple interest then it is $24805

If it is a compound interest then it is $25113.38

Step-by-step explanation:

60000 is how many times greater then 600

Answers

Answer:

100 times greater

Step-by-step explanation:

It is 100 times greater because 600*100 = 60,000

What number is 30 percent of 50

Answers

Answer:

15 (50*0.3)

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

0.3*50 = 15

You spend 5/6 of your money on new clothes for school. The amount you spend on jeans for school is 2/5 of the total amount you spend on all your school clothes.
What fraction of money do you spend on jeans?
A. 7/30 on jeans
B. 10/30 on jeans
C. 1/3 on jeans
D. 5/30 on jeans

Answers

Answer:

C

Step-by-step explanation:

well when we multiply to get a common denominator we get 25/30 and 12/30 so the only possible answer is 1/3

Question Help
A local little league has a total of 70 players, of whom 80% are right-handed. How many
right-handed players are there

Answers

Answer:

The number of right-handed people = 56

Step-by-step explanation:

80% of 70 players = number of right-handed people

So, 80/100 x 70 = 56 players

Therefore, number of right-handed players = 56

I need help please help me​

Answers

Is there anwer choices

what integer represents a gain of $9

Answers

Positive 9 dollars because your gaining money which is positive.

JK has endpoints at J(5,9) and K(7, 7). Find the midpoint M of JK.
Write the coordinates as decimals or integers.

Answers

Answer:

[tex](6,8 )[/tex]

Step-by-step explanation:

Midpoint Formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )[/tex]

Simply plug in your coordinates into the midpoint formula to find midpoint:

[tex](\frac{5+7}{2},\frac{9+7}{2} )[/tex]

[tex](\frac{12}{2},\frac{16}{2} )[/tex]

[tex](6,8 )[/tex]

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Answers

Answer:

x=-5

Step-by-step explanation:

you're welcome

2 times what equals 84

Answers

Answer:

42

Step-by-step explanation:

Let x be the missing number in the equation

Write out the equation: 2x = 84Divide each side by 2 to cancel out the 2 next to x. It should now look like this: x = 42

I hope this helps!

What is the line of reflection between pentagons PQRST and P′Q′R′S′T′?

A. x = 0
B. y = x
C. y = 0
D. x = 1

Answers

Answer:

b

Step-by-step explanation:

Answer: D:  y = 0

Step-by-step explanation: Hope that helped

A florist has 80 flowers. She ties 3 flowers together in each bunch. If she makes as many bunches of 3 flowers as possible, how many flowers are left over?

Answers

26 bunches and 2 flowers.
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Problem #1: A group of 5 people went white water rafting. They spent a total of
$1000. They made a deposit of $50 per person and paid $125 an hour to rent the
equipment needed. How many hours did they spend white water rafting? I
Problem #2:

Answers

$750

They spent 6 hours white water rafting.

$50x5=250

$250- $1000=$750

can i have 300mn + 500mn =_________________________________________________________________________________________________i need help

Answers

Answer:

yes it would be 800mn

Step-by-step explanation:

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