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.)

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]

60000 is how many times greater then 600

Departure time: 6:15 am
Arrival time: 4:24 pm
Travel time: ?

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

what integer represents a gain of $9

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?

Please help me with this math question

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

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

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

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

x/2.4+39=239
show work

$20,500 at 7% for 3 years,

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

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.

What number is 30 percent of 50

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?​

Solve -19x-1=-12x+34

Consider the equation: x^2+10x-24=0 First, use the " completing the square " process to write this equation in the form ( x+D )^2 = E and enter the results below x^2 + 10x -24 = 0is equivalent to......? = ?

2 times what equals 84

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?

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

What is the angle relationship?

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

I need help please help me​

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

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

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:

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

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)

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