Whats 1+12 fee ponitns

According to the National Bridge Inspection Standard (NBIS), public bridges over 20 feet in length must be inspected and rated e

slamgirl [31]

Answer:

1.80% probability that in a random sample of 12 major Denver bridges, at least 4 will have an inspection rating of 4 or below in 2020.

Step-by-step explanation:

For each bridge, there are only two possible outcomes. Either it has rating of 4 or below, or it does not. The probability of a bridge being rated 4 or below is independent from other bridges. So we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

For the year 2020, the engineers forecast that 9% of all major Denver bridges will have ratings of 4 or below.

This means that $p = 0.09$

Use the forecast to find the probability that in a random sample of 12 major Denver bridges, at least 4 will have an inspection rating of 4 or below in 2020.

Either less than 4 have a rating of 4 or below, or at least 4 does. The sum of the probabilities of these events is 1.

So

$P(X < 4) + P(X \geq 4) = 1$

We want $P(X \geq 4)$

So

$P(X \geq 4) = 1 - P(X < 4)$

In which

$P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{12,0}.(0.09)^{0}.(0.91)^{12} = 0.3225$

$P(X = 1) = C_{12,1}.(0.09)^{1}.(0.91)^{11} = 0.3827$

$P(X = 2) = C_{12,2}.(0.09)^{2}.(0.91)^{10} = 0.2082$

$P(X = 3) = C_{12,3}.(0.09)^{3}.(0.91)^{9} = 0.0686$

$P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.3225 + 0.3827 + 0.2082 + 0.0686 = 0.982$

Finally

$P(X \geq 4) = 1 - P(X < 4) = 1 - 0.982 = 0.0180$

1.80% probability that in a random sample of 12 major Denver bridges, at least 4 will have an inspection rating of 4 or below in 2020.

6 0

2 years ago

The lasalle high school class raised funds for an end of the year cruise getaway the city gave them a special package for the po

lidiya [134]

Since we don't know how much students there is going to be, let's assume it's x. 367x+1500=16600. 16600-1500=15100. We have to isolate x by itself so 15100/367 which equals 41.14etc And round it to 41 since there can't be a decimal of a student. Hope this helped.

6 0

3 years ago

The spinner is equally likely to land on any of the five sections. A spinner contains 5 equals sections labeled 1, 2, 3, 4, 5. S

Maurinko [17]

Answer:

Three-fifths

Step-by-step explanation:

The number of sections is 5 and the unshaded section is 3 even numbers are 1, 3 and 5. Since 3 is in both cases there are 3 numbers: 1, 3 and 5. So it is three-fifths

8 0

2 years ago

Help please!! Picture below.

saul85 [17]

X+ y <span>≥ </span>12
2.75x +3.50y < 35

Hope this helps

7 0

2 years ago

Yolanda starts at the gym and works out a training plan. She wants to cycle a total of 120 miles. If she goes to the gym 3 times

choli [55]

Answer: 5 miles

Step-by-step explanation: If she goes 3 times a week for 8 weeks she goes for a total of 24 days. In those 24 days she wants to bike 120 miles. Divide 120 by 24. You get 5. Therefore she needs to bike 5 miles each day she goes to the gym to achieve her goal.

8 0

3 years ago