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

Cindy drives her car 25 miles from her workplace to her home. The trip takes 1/2 hour. What is her unit rate in miles per hour?

Answers

Answer:

Unit rate = 50m/h

Step-by-step explanation:

Distance = 25 (x2) = 50                     ( basically make the den 1 and wht

Time = 1/2 hr (x2) = 1hr                      u do to den do to num)

Unit rate = 50m/h

Math 1-2 High School please help due in two minutes

Answers

The sum of the interior angle of a rhombus is 360° and each angle is 90°

Rick buys 18 apples for $13. How much would it cost to buy 24 apples?

Answers

Answer:

$33.23

Step-by-step explanation:

If 18 apples cost $13, this means that each apple costs 1.38461538. To find the cost of 24 apples, multiply that decimal number by 24. You will get 33.2307692308. You can round this to 33.23.

Six consecutive numbers added up to a total of 45 what is the highest of these numbers

Answers

Answer:

11......

Step-by-step explanation:

Just figured what numbers fit..

Do it in my head

The highest number is 10.

Let the numbers be a, a+1, a+2, a+3, a+4 and a+5.

Then, we will add all the numbers and equate them to 45. This will be:

a + (a + 1) + (a + 2) + (a + 3) + (a + 4) + (a + 5) = 45

6a + 15 = 45

Collect like terms

6a = 45 - 15

6a = 30

a = 30/6

a = 5

Smallest number = 5

Then, the largest number will be:

a + 5

Since a = 5

a + 5 = 5 + 5 = 10

In conclusion, the highest number is 10.

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Solve x + 2∕5 = 1∕3 for x.
Question 15 options:

A)

x = –11∕15

B)

x = 1∕15

C)

x = 11∕15

D)

x = –1∕15

Answers

Answer:

D

Step-by-step explanation:

x + 2/5 = 1/3

x = 1/3 - 2/5

x = -1/15

Answer:

-1/15

Step-by-step explanation:

e/2 < -1 I need help!!! Ty

Answers

Answer: you cant solve this solution

Step-by-step explanation:

Evaluate the function when x = 3.

f(x) = 5x + 2

A. -1/5
B. 1
C. 3
D. 7

Answers

F(x)=3^3 + 5(3)^2 +1

F(x)=27 + 5(9) +1

F(x)=27+45+1

F(x)=73

The one above is correct

SOLVING THE SYSTEM BY ELIMINATION!

Answers

Distribute the 2 to get the pink box

10x + 2y = 18
Then if we are subtracting the bottom equation from the pink box
10x + 2y = 18
-(10x -7y = -18)
9y = 36
y = 4

Solve the system of equations
negative x plus 2 y equals 2
minus x plus y equals negative 1

Answers

Answer:

Www

Step-by-step explanation:

Answer:

×2y aquel 2minus ×plus y equals negative1

These are congruent. What is the measurement of E?

Answers

Answer:

44º

we know the angle measures of angles G and F; they match up with angles L and M meaning angle K is congruent to angle E

Suppose that in 6 minutes, 54 gallons of water came out of a pipe. What was the rate in gallons per minute?

Answers

Answer:

9 gallons per minute

Step-by-step explanation:

If there are 54 gallons that came out of a pipe within 6 minutes, then we divide 54 by 6 to get how many would come out in 1 minute.

54/6 = 9.

hey yall what is 34 x 45 x 567

Answers

Answer:

867510

Step-by-step explanation:

34 x 45 = 1530

1530 x 567 = 867510

hope this helped

The answer is

[tex]867510[/tex]

What is 285 - 15?
17
28
19
21
Please help quickly thanks

Answers

Answer:

19

Step-by-step explanation:

cuales son los divisores de 12​

Answers

Answer:

1, 2, 3, 4, 6, 12

Step-by-step explanation:

Answer:

1,2,3,4,5,6,12 esos son

Someone please help me I’ll give out brainliest please dont answer if you don’t know

Answers

Answer:

its $63.96

Step-by-step explanation:

Using the formula (b) and replacing the given values:

Sale Price = Original Price - Amount Saved. So,

Sale Price = 79.95 - 15.99

Sale Price = $63.96 (answer).

This means the cost of the item to you is $63.96.

You will pay $63.96 for a item with original price of $79.95 when discounted 20%.

In this example, if you buy an item at $79.95 with 20% discount, you will pay 79.95 - 15.99 = 63.96 dollars.

Answer:

$63.96

Step-by-step explanation:

$79.95 = 100%

The jacket is on sale for 20% off, therefore it is 100% - 20% = 80% or 0.8

0.8 x $79.95 = $63.96

Please mark me brainliest.

Plz help would be a life saver

Answers

I think 4 is -4 and let me do 5

Line passes through (-5,3) and (-6,-1). Line B passes through (3,-2) and (2,-7). Are the lines parallel? Explain.

Answers

Answer:

No they are not parallel.  

Step-by-step explanation:

You have to figure out the slopes of each set of points. For  (-5,3) and (-6,-1) the slope is 4 and for  (3,-2) and (2,-7) the slope is 5. You can only have parallel lines if the slope is same and the y- ints are different. Here the slopes aren't same.

Sorry If im wrong. Hope this helps!

The two given lines are not parallel.

What is the slope of a line which passes through points ( p,q) and (x,y)?

The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.

Its slope would be:

[tex]m = \dfrac{y-q}{x-p}[/tex]

Slope of parallel lines are same. Slopes of perpendicular lines are negative reciprocal of each other.

We are given that;

The points= (-5,3) and (-6,-1),  (3,-2) and (2,-7)

Now,

For line A, let’s use (-5, 3) and (-6, -1) as the two points. Plugging these values into the formula, we get:

m = (-1 - 3) / (-6 - (-5)) = -4 / -1 = 4

So, the slope of line A is 4.

For line B, let’s use (3, -2) and (2, -7) as the two points. Plugging these values into the formula, we get:

m = (-7 - (-2)) / (2 - 3) = -5 / -1 = 5

Hence, the slope of line B is 5.

Since the slopes of line A and line B are not equal (4 ≠ 5),

Therefore, by the slope the answer will be they are not parallel.

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4-58. Lisa plans to retire on her 61st birthday. On her
22nd birthday, Lisa will start saving SA per year for
40 years. Starting on her 62nd birthday, Lisa plans on
withdrawing $10,000 and will continue these annual
withdrawals until the account is exhausted on her 85th
birthday. If Lisa's bank account pays 3% per year, what
annual amount of SA will Lisa need to invest in her bank
account to achieve her retirement goal? (4.10)​

Answers

Answer:

Lisa invest "$2180.81" in her bank.

Step-by-step explanation:

The given values are:

On Lisa's 62nd birthday,

she withdraw = $10,000

The annuity of $A will remain at 3 percent for 40 years. The retirement pension of $10000 lasts 23 years at rate percentage of 3 but begins 40 years later.

⇒  [tex]A\times (\frac{P}{A} ,3 \ percent,40) - 10000 (\frac{P}{A} ,3 \ percent,23)\times \frac{1}{(1.03)40} = 0[/tex]

⇒  [tex]A\times 23.1148 - 10000\times 16.4436\times 0.3066 = 0[/tex]

⇒  [tex]A = 10000\times 16.4436\times \frac{0.3066}{23.1148}[/tex]

⇒      [tex]= 10000\times 16.4436\times 0.0132[/tex]

⇒      [tex]=2180.81[/tex] ($)

Find volume of a 6mi sphere

Answers

The volume of a 6 mi sphere = V = 4/3 πr³.

The mass of a basket containing three balls was 3.64 kg. The mass of the same basket and five balls is 5.26 kg. Find the mass of the empty basket in kilograms?

Answers

Answer:

1.21

Step-by-step explanation:

5.26 - 3.64 = 1.62

1.62 ÷ 2 because the difference between 3 and 5 is two, the mass of one apple is 0.81 because 1.62 ÷ 2 = 0.81

so now we know one apple weights 0.81

if we multiply that 0.81 x 3 it will equal 2.43, so now the three apples alone wiegh 2.43...so now we look at the total weight of the whole basket with three apples, which is 3.64,

3.64 - the weigth of the apples (2.43)

3.64 - 2.43 = 1.21

the basket alone wieghts 1.21

Sorry if that was too long just want you to understand it

Exercise 1.7.1.
1. In a class of 32 students, 11 study Physics, 16 study Biology, 14 study Chemistry but
4 do not study of these subjects, 5 study Physics and Biology,4 study Physics and
Chemistry, 7 study Biology and chemistry while 6 study chemistry only. Using n to
represent the number of students who study all three subjects.
(a) Illustrate this information on a Venn diagram
(6) Write an equation in terms of n.
(c) By solving your equation in (6), find the number of students who study:
(i) all three subjects
(ii) Physics or Chemistry but not Biology

Answers

thiz language is french

Anna surveyed 300 of the students in her school about their favorite color. 186 students said their favorite color was red. What percentage of the surveyed students said their favorite color was red?
Answer:_________

PLEASE HELP ME!!!

Answers

Answer:

62%

Step-by-step explanation:

I took a fraction and made a decimal which was made into a percentage.

186 ÷ 300 = .62

Check: 62% • 300 = 186

The survey Anna conducted has 62% of students whose favorite color is red.

What is percentage?

The percentage is the value per hundredth. Percentages can be converted into decimal form by dividing them by hundred, Percentage can also be represented as a fraction.

Given that 186 out of 300 students Anna surveyed chooses red as their favorite color.

The percentage of students whose favorite color is red is no. of students whose favorite color is red divided by the total no. of students multiplied by hundred which is,

= (186/300)×100.

= 186/3.

= 62%.

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Graham Sugar Company has 900 pounds of sugar to package. Each bag of sugar holds two and four-tenths pounds. How many bags are needed?

Answers

Answer:

375 bags

Step-by-step explanation:

900/2.4=375 bags

15 POINTS!!

Graph the equation. y=2(x-4)^2+5

Answers

Answer:

Step-by-step explanation:

Answer:

It's a parabola opening up from the vertex (4,5) and intercepts the y-axis at (0,37)

Which of the following is the correct factorization of -y²+y+6?

Answers

Answer:

(−y−2)(y−3)

Step-by-step explanation:

I'm just going to factor it for you.

Factor −y^2+y+6

−y^2+y+6

=(−y−2)(y−3)

Answer:

(−y−2)(y−3)

What are the next three terms in the sequence -27, -19, -11, -3, 5, ...?
A. 13, 21, 29
B. 22, 29, 36
C. 15, 22, 29
D. 8, 15, 22

Answers

Answer:

13, 21, 29

Step-by-step explanation:

the difference is 8

so add 8 to last numbers

Answer:

A

Step-by-step explanation:

u subtract each number by 8 then once u get to 5 u start adding them all by 8

Let h(t) =-16t2 + 5t + 1. What is h(1)?

Answers

Answer:

Step-by-step explanation:

Hhggggy

answer:




step-by-step explanation
hhggggy

Marcia is at a store with a 20% off sale. She also has a coupon for an additional 10% off the sale price. Prove or disprove the following statement: A 20% discount on the original price of an item followed by the use of a 10% coupon, results in a total discount of 30%.

Answers

is it multipuction then do that the rest

divide 345609875by 13​

Answers

Answer:

26585375

Step-by-step explanation:

Matthew has a loyalty card good for a discount at local hardware store. The item he wants to buy is priced at $13 before discount and tax. After the discount and before tax a price is $12.48. Find the percent discount.

Answers

Answer:

Step-by-step explanation:

Your answer

Old price = 13$

New price = 12.48$

DISCOUNT price = 0.52$

Discount rate = 0.52/13 * 100= 4%

Mark it as Brainlist answer. Follow me.

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