Problem: A federal agency is deciding which of two waste dump projects to investigate. A top administrator estimates that the probability of federal law violations is 0.30 at the first project and 0.25 at the second project. Also, he believes the occurrences of violations in these two projects are mutually exclusive (that is, the events are disjoint).

a). find the probability of federal law violations in the first project or the second project.
b). given that there is not a federal law violation in the first project, find the probability that there is a federal law violation in the second project.
c). In reality, the administrator confused mutually exclusive and independent, and the events are actually independent. Answer (a) and (b) with this correct information.

Answers

Answer 1

Answer:

Following are the solution to the given points:

Step-by-step explanation:

For point (a) :

In this, two points are  exclusive to one another,  it is a probability that first or the  second project will have breaches,

[tex]\to P = P(A) + P(B)[/tex]

       [tex]= 0.3 + 0.25\\\\= 0.55[/tex]

Since the p(A & B)=0  is mutually exclusive.

For point (b):

[tex]\to P = ( \frac{1 -p(A)) \times P(B)}{((1-P(A)) \times P(B) + P(A&B)}) \\\\[/tex]

       [tex]= \frac{(1 -0.3)\times 0.25}{(1-0.3)*0.25 + 0} \\\\ = 1[/tex]

For point (c):

 if both a and b are independent:

(a):

[tex]P = P(A) + P(B) - P(A)\times P(B) \\\\[/tex]

   [tex]= 0.3 + 0.25 - 0.3 \times 0.25\\\\ = 0.475[/tex]

(b):

[tex]P = \frac{(1 -p(A)) \times P(B)}{((1-P(A)) \timesP(B) + P(A&B))} \\\\[/tex]

   [tex]= \frac{(1 - 0.3)\times 0.25}{((1-0.3)\times0.25 + 0.3\times0.25)}\\\\ = 0.7[/tex]


Related Questions

Joe and his friend are going hiking they bring with them a container that holds 1/2 of gallons of water if they share the water equally will fraction of a gallon would each friend get?

A. 1/3
B. 3/2
C. 1/4
D. 1/6

Answers

Answer
C. 1/4
I hope this helps!

Choose the symbol that goes in the blank to make the statement true.
96,000 _ 128,000 = < >

Answers

Answer:

<

Step-by-step explanation:

hhahaha

please help me out. is it A B C D?​

Answers

The answer is: B sorry if I’m wrong

MATH HOMEWORK WHO CAN ANSWER

Answers

Answer:

its the 3 one

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

A. [tex] \angle 4 \: and \angle 6[/tex] - - - (same side interior angles)

B. [tex] \angle 5 \: and \angle 8[/tex] - - - (vertical angles)

C. [tex] \angle 2 \: and \angle 6[/tex] - - - (corresponding angles)

D. [tex] \angle 4 \: and \angle 5[/tex] - - - (alternate interior angles)

Explain the two ways we can find the slope from an equation written in STANDARD FORM. Which way is more convenient and WHY?

Answers

Answer: Derivative or y = mx + b

Step-by-step explanation:

Take the m value from the standard form equation:

y = mx + b

Or, the second way, is to take the derivative of the function and plug in your x value for your slope.

The derivative of a linear function is very easy to take, so it boils to preference

A line is represented by the equation y = 3x – 7. Which statement about the line is TRUE?

A.
This line is parallel to the line whose equation is y = 2x – 7.

B.
The line has a positive slope.

C.
The y-intercept is 7.

D.
The point (1, 4) lies on the line.

Answers

Step-by-step explanation:

alignment in represented by erosion by which a statement both lights it's true that this line is a parallel that two parallel whose the equation is do you audio will be that a googlmy answer if two line was station then represented by equation allowed is a representation equation the by represented is a

What is 5/6 plus 7/8?

Answers

Answer:

1  17/24

Step-by-step explanation:

Answer:

41/24 or 1 17/24

Step-by-step explanation:

If you answer these questions i will give you free point's. (Answer all of them pls)


1. I am 50% of a quarter of 32.
2. I am two thirds of 60.
3. I am exactly half-way between 25% of 80 cm and 40% of 120cm.
4. I am one-quarter of 50% of 88kg.
5. I am 3% of half of 600 pounds.
6. I am exactly halfway between one fifth of 25cm and 2% of 300 cm.
7. I am greater that 0.6 kg, less than one-third of 6 kg, and equal to four times 10% of 3kg.

Answers

Answer:

1. 4

2.40

3. 28

4.11

5.12

6. 1

7. 1200

Step-by-step explanation:

I used • instead of x to show you multiply.

1. 1/4 (one quarter) of 32 = 8.
50% of 8 = 4

2. 2/3• 60 = 120/3 = 40

3. 25% = 0.25, 40% = 0.40
So 0.25 • 80= 20
0.40 • 120 = 48
Then subtract: 48-20 = 28. Half of 28 is 14. Add that 14 to 20, and your answer is 34. It will probably be helpful to either write that on a number line, or picture it on a number line.

4. 50% of 88kg is half of that, which is 44. One quarter = 1/4, so 44/4 = 11

5. Half of 600 pounds is 300 pounds. 3% = 3/100 = 0.03. Multiply that by 300 to get your answer. 300 • 0.03 = 9

6. 1/5 of 25cm = 25/5= 5
2% of 300 = 300• 0.02= 6
What is exactly halfway between 5 and 6? 5.5

7. Start this one with the last statement. 10% (0.10) of 3kg = 3•0.10= 0.3. Four times that = 4•0.3= 1.2

Then check: is that greater than 0.6? Yes.

One third of 6kg = 6/3= 2

Is 1.2 less than 2? Yes.

jackie bought 15 cookies for $3 . How much will she have to pay for 35?

Answers

Step-by-step explanation:

15=3

35=x

15x=3×35

x= 3×35÷15

x=105÷15

x=7

Sarah lives in Ruthin and works in Oswestry for 5 days a week. each day she travel to and from work. Work how many miles does she commute a week​

Answers

Answer: 330 miles

Step-by-step explanation:

The distance provided for the question is:

Wrexham

18 Ruthin

21 12 Cornwen

15 33 23 Oswestry

What this means is that Ruthin and Oswestry are 33 miles apart.

Each day, Jane travels back and forth for a total of:

= 33 * 2

= 66 miles

In 5 days she would have travelled:

= 5 * 66

= 330 miles

The length of a rectangle multiplied by 3 is equal to 4 times its width. The perimeter is 8 2/5 feet. Find the length and width.

Answers

Answer:

W=1 4/5 feet

L= 2 2/5 feet

Step-by-step explanation:

3L = 4W     L = 4W/3

2L+2W = 8 2/5

Substitute L

2(4W/3)+2W = 8 2/5

8W/3+2W = 8 2/5

multiply both sides by 3

8W+6W = 24 6/5

14W = 25 1/5

Divide both sides by 14

14W/14 = (25 1/5)/14

W = (126/5)/14 = 9/5 = 1 4/5

Substitute for W

L = 4(1 4/5)/3

L = (4)(9/5)/3 = (36/5)/3 = 12/5 = 2 2/5

The perimeter is an enclosed area of any two or one-dimensional shape.

The perimeter of a rectangle is given by:

[tex]\rm P = 2 ( L + B )[/tex]

The length is [tex]\rm 2 \dfrac{2}{5} feet[/tex] and the width of the rectangle is [tex]\rm 1\dfrac{4}{5} feet[/tex].

This can be calculated by:

Given,

Perimeter (P) = [tex]\rm 8 \dfrac{2}{5} feet[/tex]

Let,

Length = L

Width = W

Since,

3L = 4W

[tex]\rm L = \dfrac{4W}{3}[/tex]

Substituting the value of L in the equation of perimeter:

[tex]\rm 2(\dfrac{4W}{3}) + 2W = 8 \dfrac{2}{5}[/tex]

[tex]\rm \dfrac{8W}{3} + 2W = 8 \dfrac{2}{5}[/tex]

Now multiplying the left and right sides by 3 we get:

[tex]\rm 8W+6W = 24 \dfrac{6}{5}[/tex]

[tex]\rm 14W = 25 \dfrac{1}{5}[/tex]

Now divide both sides by 14:

[tex]\rm \dfrac{14W}{14} =\dfrac{(25 \dfrac{1}{5})}{14}[/tex]

[tex]\rm W = \dfrac{(\dfrac{126}{5})}{14} \\\\= \dfrac{9}{5}[/tex]

[tex]\rm W = 1 \dfrac{4}{5}[/tex]

Now substituting the value of W, length can be calculated:

[tex]\rm L = \dfrac{4(1 \dfrac{4}{5})}{3}[/tex]

[tex]\rm L = \dfrac{(4)\dfrac{9}{5}}{3} \\\\= \dfrac{(\dfrac{36}{5})}{3} \\\\= \dfrac{12}{5}[/tex]

[tex]\rm L = 2 \dfrac{2}{5}[/tex]

Therefore, length is  [tex]\rm 2 \dfrac{2}{5} feet[/tex]  and width is [tex]\rm 1\dfrac{4}{5} feet[/tex].

To learn more about the perimeter of rectangle follow the link:

https://brainly.com/question/8966512

Liam had63 markers, Alex has 49 markers, and Oliva has 77 markers use the GCF and

Answers

Answer:

and.....? look im only answering for the points m'lady. all i know is that olivia has, alex has, and liam HAD.

Step-by-step explanation:

Answer:

Step-by-step explanation:

63 = 3 * 3 * 7

49 = 7 * 7

77 = 7 * 11

So the GCF = 7.

LCM = 7 * 7 * 3 * 3 * 11 = 4851.

#5:20 < 6+(-7x)
HINT! What is an equivalent way to write 6+ (-7x)?
What letter from the chart above matches the
solution to this inequality? Type your answer as a
CAPITAL letter.

Answers

Answer:

the answer i got was x<-2

Step-by-step explanation:

Help needed with this as soon as possible

Answers

Answer:

1

Step-by-step explanation:

g(-3)=-2(-3)²+3(-3)

      =-18-9

      =-27

Select the most precise name of quadrilateral MNOP given the coordinates of M, N, O, and P.

Answers

Answer:

Parallelogram

Step-by-step explanation:

That dude above doesn't know what his talking about its parallelogram my teacher confirmed it too

The quadrilateral MNOP is a parallelogram in which opposite sides are equal and parallel to each other.

Quadrilateral

A quadrilateral is a polygon with four angles and four sides.

Given the vertices of quadrilateral MNOP at M(1, 1) N(3, 4) O(6, 6) P(4, 3). Plotting the points using geogebra,

We can see that the quadrilateral MNOP is a parallelogram in which opposite sides are equal and parallel to each other.

Find out more on Quadrilateral at: https://brainly.com/question/23935806

find the value of x

Answers

Answer:

X=65.4 Degrees

Step-by-step explanation:

Hehe ;)

a total of 40 percent of the voters in a city classify themselves as independents, whereas 35 percent classify themselves as liberals, and 25 percent as conservatives. in a recent election, 40 percent of the independents, 75 percent of the liberals, and 65 percent of the conservatives voted. given that a person voted in the election, what is the probability that the person is an independent

Answers

Answer:

Probability = 0.088 ie 8.8%

Step-by-step explanation:

P (I) = 40% = 0.4

P (L) = 35% = 0.35

P (C) = 25% = 0.25

P (EV / I) = 40% = 0.4

P (EV / L) = 75% = 0.75

P (EV / C) = 65% = 0.65

P (I / EV) = [ P (EV / I) . P (I) ] / [ P ( EV) ]

[ P (EV / I) . P (I) ] / [ P (EV / I) + P (EV / L) + P (C / L)

[(0.4) (0.4)]  / [ 0.4 + 0.75 + 0.65 ]

0.16 / 1.8

= 0.088 ie 8.8%

1. Find the permeter of the triangle
(6x + 2) cm
(x- 4)cm
(3x + 1) cm​

Answers

The perimeter of the triangle is 10x-1 cm.

Explanation:

Perimeter of the triangle:
(6x+2) + (x-4) + (3x+1)

= 6x + 2 + x - 4 + 3x + 1

= 10x - 1

13 percent of a certain company's life insurance policy holders are smokers. For each nonsmoker the probability of dying during the year is 0.002. For each smoker the probability of dying during the year is 0.02. Find the probability that a policy holder who died last year was a smoker.

Answers

Answer:

.6

Step-by-step explanation:

Using Bayes' theorem

While s = smoker

n = nonsmoker

D = died

P(s) = .13

P(n) =.87

P(D/s) =0.02

P(D/n) =0.002

P(s/D) = ??

[tex]P(s/D)=\frac{P(s)*P(D/s)}{P(s)*P(D/s)+P(n) *P(D/n)} =\frac{.13*.02}{.13*.02+.87*.002}=.6[/tex]

v= u + at, find v, when u = 12, a = 5 and t = 7

Answers

Answer:

V=47

Step-by-step explanation:

12+5x7

12+35

47

Answer:

Final velocity (v) = 47 m/s

Step-by-step explanation:

u = 12

a = 5

t = 7

v = ?

v = u + at (first law of motion)

v = 12 + (5 × 7)

v = 12 + 35

v = 47 m/s.

While rolling, a wheel with a diameter of 13/2m makes 196 revolutions. Find the distance that is traveled by the wheel. Use for 22/7 for pi​

Answers

Answer:

9.6 m

Step-by-step explanation:

let 'x' be distance traveled

196 = 3.14(6.5)x

196 = 20.41x

x = 196/20.41

x = 9.6

Solve the parallelogram for x MARKINF people as brainlist

Answers

Answer:

in the question there must be the area of the parallelogram given...


The temperature early in the morning is 15 °C. The temperature increases by 2 °C for every hour for the
next 5 hours. Write a function for the temperature in degrees Celsius.
f(h)=

Answers

wait don’t you just like times it by 2 and get the answer

Which graph represents the inequality ?

Answers

Answer:

if there is a pic i need to to help so since there is no pic i can not help

Step-by-step explanation:

Which playwright has only seven surviving plays, and many people consider his Oedipus Rex the greatest Greek tragedy?


Aeschylus


Sophocles


Euripides


Aristophanes

Answers

Answer:

its b Sophocles

Step-by-step explanation:

got it right

4x-5y=11 and 8x-5y=27

Answers

Answer:

y = -1 , x = 4

Step-by-step explanation:

(4x - 5y = 11) x8

(8x - 5y = 27) x4

32x - 40y = 88

- - -

32x - 20y = 108

[0. 20y = -20] divide both by 20

y = -1

8x - 5y = 27

8x - 5(-1) = 27

8x = 27 + 5

8x = 32 ( divide both by 8)

x = 4

Solve the inequality 2n – 1 < 39​

Answers

Answer:

n < 20​

Step-by-step explanation:

2n – 1 < 39​

Add 1 to each side

2n – 1+1 < 39+1

2n < 40

Divide each side by 2

2n/2 < 40/2

n < 20​

5. A baker had 2 pans of corn bread. He served 1 1/4 pans. What fraction of a pan was left?

Answers

Answer:

3/4

Step-by-step explanation:

2- 1 1/4= 3/4

Answer:

3/4

Step-by-step explanation:

what is the derivative of 5(x+2)​

Answers

Answer:

5

Step-by-step explanation:

d(5(x+2))/dx

d(5x+10)/dx

d(5x)/dx + d(10)/dx

5+0

5

State weather ABC and AED are congruent. Justify your answer

Answers

I had to do this as well, tbh I wasn’t that good though..
I think the answer is c. I hope this helps. Be safe out there!
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