There has been a great deal of controversy over the last several years regarding what types of surveillance are appropriate to prevent terrorism. Suppose a particular surveillance system has a 96% chance of correctly identifying a future terrorist and a 99.8% chance of correctly identifying someone who is not a future terrorist. If there are 1,000 future terrorists in a population of 200 million, and one of these 200 million is randomly selected, scrutinized by the system, and identified as a future terrorist, what is the probability that he/she actually is a future terrorist

Answers

Answer 1

Answer:

0.9976 = 99.76% probability that he/she actually is a future terrorist

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Person identified as a future terrorist

Event B: Person is actually a future terrorist.

Probability that a person is identified as a future terrorist:

96% of [tex]\frac{1000}{200000000}[/tex]

100 - 99.8 = 0.2% of [tex]\frac{200000000-1000}{200000000}[/tex]

So

[tex]P(A) = 0.96\frac{1000}{200000000} + 0.002\frac{200000000-1000}{200000000} = 0.002[/tex]

Probability of being identified and being a future terrorist:

100 - 99.8 = 0.2% of [tex]\frac{200000000-1000}{200000000}[/tex]

[tex]P(A \cap B) = 0.002\frac{200000000-1000}{200000000} = 0.00199999[/tex]

What is the probability that he/she actually is a future terrorist

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.00199999}{0.00200479} = 0.9976[/tex]

0.9976 = 99.76% probability that he/she actually is a future terrorist


Related Questions

They boost the economy

Answers

Answer:

I think the question is incorrect

Step-by-step explanation:

they boost the economy why is this in mathematics

‍♀️‍♀️

What is the least common denominator of 3/5 and 9/10?​

Answers

Answer:

9/10

Step-by-step explanation:

3/5 = 6/10 = 9/10 = 9/10

I'm not 100% sure of this answer someone please correct me if I'm incorrect.

if kya wins the election she will not be continuing to get in touch with her family/friends and now she has to make a decision to help people in need around the world she is 48 hours to decide if she will go or not she need to week to pack and they leave the day after because she says that yes how long would you have with her family/Friends​

Answers

Answer:

47 hours?

Step-by-step explanation:

She would have 47 hours lol

If she says yes then she would have enough time to spend with family and then 1 hour to go?

What is the measure of angle A?
Enter your answer as a decimal in the box. Round your final answer to the nearest hundredth.

Answers

Answer: 45 degrees

Step-by-step explanation:

Answer is 45 degrees

Please Help! One natural number is 4 more than the other one. The product of the two numbers is three times the square of the smaller number. Find the numbers.​

Answers

Let n and n+4 be the numbers. Then:

n² + 3(n+4)=66

n²+3n-54=0

(n+9)(n-6)=0

n=6 or -9

n+4=10

Assuming positive integers only, the numbers are 6 and 10…..

Step-by-step explanation:

100% right

Answer:

2 and 6

Step-by-step explanation:

Sydney's car used 1/ 3/5
gallons to travel 6666 miles. How many miles can the car go on one gallon of gas?

Answers

Answer:

Sydney car can go 44.4 miles on gallon

PLS HELP I DONT KNOW THIS ONE ITS URGENT

Answers

Answer:

A. [tex] \frac{UV}{VW} = \frac{ZY}{YX} [/tex]

Step-by-step explanation:

WX, VY, and UZ are parrelel to each other, therefore, base on triangle proportional theorem, the two transversal lines are divided proportionally by the 3 parallel lines.

Thus, we would have the following equation which is true:

[tex] \frac{UV}{VW} = \frac{ZY}{YX} [/tex]

Can someone explain the washer method in calculus and help me solve this problem?

Answers

Answer:

Step-by-step explanation:

Find the slope of the line that passes through Point A (-1, -6) and Point B (-7, -3), using the formula m= y2-y1/x2-x1.​

Answers

Answer:

Step-by-step explanation:

Given A (-1, -6) and  B (-7, -3)

Slope (m)

= y2-y1/x2-x1

= - 3 + 6 / - 7 + 1

= 3/-6

=-1/2

hope it helps :)

Answer: 3 / -6

Step-by-step explanation:

-3 - (-6) / -7 - - 1 = 3 / -6

The subtraction turns into addition because to “-“ equals “+” and if graphed the points will go up three units and six units to the left

What is the area of the triangle? 4 6 units2​

Answers

4 x 6 x 2 = 24 x 2 = 48 ..

Show how you found the slope and y-intercept

Answers

Answer:

Slope: [tex]\frac{5}{2}[/tex]

y-intercept: 0

Step-by-step explanation:

First, find the slope. Use two points given to you. In this case, I will use the following:

(x₁ , y₁) = (2 , 5)

(x₂ , y₂) = (4 , 10)

Use the following equation:

slope (m) = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]

Plug in the corresponding numbers to the corresponding variables:

slope (m) = [tex]\frac{10 - 5}{4 - 2}[/tex] = [tex]\frac{5}{2}[/tex]

Note the slope intercept form:

y = mx + b

y = (x , y)

m = slope

x = (x , y)

b = y-intercept

Plug in the slope into m for the equation:

[tex]y = \frac{5}{2} x + b[/tex]

Choose a point to use to find b. In this case, I will use (2 , 5). Plug in 2 for x, and 5 for y:

[tex]5 = \frac{5}{2}(2) + b[/tex]

Simplify. Isolate the variable, b. Note the equal sign, what you do to one side, you do to the other:

[tex]5 = \frac{5}{2}(2) + b\\5 = 5 + b\\5 (-5) = 5 (-5) + b\\b = 5 - 5\\b = 0[/tex]

Y-intercept: 0

NEEd help quickly please!!! The basketball game had 500 people in attendance. If the ratio of Pioneer fans to Lion fans is 15:5, how many MORE Pioneer fans were there? Pls use tape diagram.

Answers

Answer:

Step-by-step explanation:

15(500/20)-5(500/20)

375-125

250

There were 250 more Pioneer fans than Lion fans.

A person invested $370 in an account growing at a rate allowing the money to double every 11 years. How long, to the nearest tenth of a year would it take for the value of the account to reach $720

Answers

Answer:

10.6

Step-by-step explanation:

y=a(2)^t/d

Plug in

720=370(2)^t/11

Divide both sides by 370

1.945945946 = (2)^t/11

Log both

Log(1.945945946) / Log(2)

0.9604716359 = t/11

0.9604716359 x 11 = t

10.56518799 to the nearest tenth is 10.6 = t

It would take 10.6 years for the value of the account to reach $720.

What is an exponential function?

An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.

A person put $370 into an account that grew at a rate that allowed the money to double every 11 years.

As per the question, we can write an exponential function as:

[tex]y=a(2)^{t/d}[/tex]

Substitute the values of y = 720, a = 370 and d = 11 in the above equation:

[tex]720=370(2)^{t/11}[/tex]

Divide both sides by 370

[tex]1.945945946 = (2)^{t/11}[/tex]

Take logarithms on both sides of the equation,

log(1.945945946) / log(2)

0.9604716359 = t/11

0.9604716359 x 11 = t

t = 10.56518799

Rounded to the nearest tenth

t = 10.6

Thus, the required time would be 10.6 years.

Learn more about exponential function here:

brainly.com/question/11487261

#SPJ2

The perimeter of a triangle is 51 centimeters. The lengths of its sides are represented by x, x + 2 and x + 4. Find the lengths of all three sides.

Answers

Answer:

sides are 15 cm, 17 cm, and 19 cm

Step-by-step explanation:

x + (x+2) + (x+4) = 51

3x+6 = 51

3x = 45

x = 15

HELPPPPP PLSSSSSS !!!!!!!


Charmaine is having a party. She'll have 4 tables for every 8 guests. Complete the table below showing the number of tables and the number of guests​

Answers

Answer:

Top is 18, Bottom goes 6 for 12, then 7 for 14, then 10 for 20

Step-by-step explanation:

2 guests = 1 table

Divide 8 and 4
Which would be 2 so 2 people for table

Michael had 3 times as many mangoes as Junior. After eating 8 mangoes. Michael had
twice as many mangoes as Junior. What is the total number of mangoes both boys had at
the beginning?​

Answers

Answer:

Michael: 24

Junior: 8

Step-by-step explanation:

8 is a multiple of 24, meaning if you ate 1/3 of 24 you get 16, which is doubled 8.

Please Help. Will give Brainliest.

Answers

Answer:

translation.........

The population of cats that are rescued every year is currently 50,000 and declines at a rate of 1.2% every year. This models

Answers

Answer:

Exponential decay

Which expression is equivalent to x + 0.2x

1.2x
0.2x squared
0.2x
1.02x​

Answers

The answer to this expression would be 1.2x

Please help I'm confused with what to put in those boxes

Answers

It is asking how many layers which is 5 because in order to build it it went up 5
and the numbers in each layer is 3 going across

Can someone help me

Answers

Answer:

The first one is a right angle (90-degree angle) The second one is an acute and obtuse angle. And the slope is y=2x-3

Step-by-step explanation:

Hope this Helped

First one is a right angle because it is 90 degrees. Second is a acute angle because it is LESS than 90 degrees. Then third is a obtuse angle because it is MORE than 90 degrees

A polynomial function has zeros at 5/2 (multiplicity 2), 3 (multiplicity 1), and 0 (multiplicity 4). Write a function in standard form that could represent this function

Answers

Answer:

-75 x^4 + 85 x^5 - 32 x^6 + 4 x^7

Step-by-step explanation:

[tex](x-5/2)^{2}(x-3)(x-0)^4 =0\\(2x-5)^{2}(x-3)(x)^4 =0[/tex]

Expand and get

-75 x^4 + 85 x^5 - 32 x^6 + 4 x^7

The standard form will be  [tex]X^4(x^4-7x^3+12x^2-\dfrac{35x}{2} +\dfrac{25x^2}{4} +\dfrac{25}{4} =0[/tex]

What will be the standard form of the given expression?

The given expression is

[tex](x-\dfrac{5}{2})^2(x-1)^2(x-0)^4=0[/tex]

[tex](x^2-5x+\frac{25}{4} )(x^2-2x+1)(x^4)=0[/tex]

[tex](x^4-2x^3+x^2-5x^3+10x^2-5x+\dfrac{25x^2}{4} -\dfrac{50}{4} x+\dfrac{25}{4} ) x^4=0[/tex]

[tex]X^4(x^4-7x^3+12x^2-\dfrac{35x}{2} +\dfrac{25x^2}{4} +\dfrac{25}{4} =0[/tex]

Thus the standard form will be  

[tex]X^4(x^4-7x^3+12x^2-\dfrac{35x}{2} +\dfrac{25x^2}{4} +\dfrac{25}{4} =0[/tex]

To know more about Polynomials follow

https://brainly.com/question/15702527

Hazel works at The Last Page Booksellers. Her total earnings were $24,000 last year. Hazel
paid $157 in payroll taxes for every $1,000 she earned.
What was Hazel's net income for last year?

Answers

Answer:

Step-by-step explanation:

157x24 = ...

Please Help me, what the answer

Answers

It’s either 1. Or 2. I’m really not sure which one tho so sorry! There’s not enough information given but if I had to guesstimate I would say 1.

What is 16% as a decimal?

Answers

Answer:

0.16 in decimal

Step-by-step explanation:

Answer:

0.16

Convert to a fraction, then convert to a decimal by dividing the numerator by the denominator.

16/100

Then when you divide it, it becomes 0.16.

Rewrite y=a(1/3)^3t in the form y = a(1+r)^t or y = a(1 –r)^t

Answers

Answer:

sorry

Step-by-step explanation:

sorry I cannot help u because I have not seen this type of question before and I have not learn I am in 7 classes

Evaluate 7^2 PLEASE HELP ME

Answers

Evaluate 7^2 = 49
7•7=49

Which phrase best describes the relationship indicates by the scatter plotting?​

Answers

Answer:B

Step-by-step explanation:

Can someone please help!!!

Answers

the answer is option 3

Answer: {t| t ≥ 2}

Step-by-step explanation:

3t - 6 ≥ t - 2

-t         -t

---------------------

2t - 6 ≥ -2

   +6    +6

---------------------

2t ≥ 4

t ≥ 2

-595-65

Btw they are both negative numbers

Answers

Answer:

-660

Step-by-step explanation:

-595-65=-660

Here you goooo!!!!!!!!!!
Other Questions
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .! Can someone help me do this I forgot how to do it. can someone pls help with both questions pls I will be very grateful :) help please need answers PLZ HELP!!! WILL MAKE BRAINLIEST!!!! I need help and a explanation What is the chemical equation?Electrolysis (splitting) of water. H20--> which decimal is equivalent to 2/3? A reality of living in a risk society is that:____________ a. social justice is, in fact, dispensed equally across all citizen groups, irrespective of ethnicity, income level, or other factors. b. incomes are regulated by government policy to ensure equality across professions and worker class. c. laws cannot be enacted to regulate corporations' adherence to accounting rules. d. currency exchange rates are set by the Caux Principles. e. the creation and distribution of wealth generate by-products that can cause injury, loss, or danger to people and the environment. Brainiest to who answers first Write the equation of the line that passes through the points (2, -6) and (8,-2).Put your answer in fully reduced point-slope form, unless it is a vertical or horizontalline. What is the unit of measurement for potential electric energy existing between two points on a circuit?A. JouleB. VoltageC. Current UMMM i need help can u plz help? Why would geothermal energy NOT be a possible energy source for many regions of the country?A. Geothermal energy depends upon a nonrenewable resource.B. Geothermal energy is only found in Arctic regions.C. Geothermal energy is not always found in an area that is easily accessible.D. Geothermal energy can only be used to grow tropical fruits. A college student makes $2.50 per hour serving tables at a restaurant. The college student also receives an average of $6.00 in tips for every table served.If the college student serves 3 tables each hour, which function, f(x), represents the total amount the college student makes for serving tables for x hours? In what do electromagnetic waves cause disturbances when they transferenergy?A. Electric fields onlyO B. Both electric and magnetic fieldsC. Neither electric nor magnetic fieldsO D. Magnetic fields only ARTICULATE THE MAJOR APPLICATIONS OF DEMAND AND SUPPLY TOOLS IN DIFFERENT TYPES OF MARKETS . REFERENCE SHOULD BE MADE TO ANY EMERGING ECONOMY OF YOUR CHOICE. A chemist working as a safety inspector finds an unmarked bottle in a lab cabinet. A note on the door of the cabinet says the cabinet is used to store bottles of carbon tetrachloride, diethylamine, methyl acetate, ethanolamine, and dimethyl sulfoxide. The chemist plans to try to identify the unknown liquid by measuring the density and comparing to known densities. First, from his collection of Material Safety Data Sheets (MSDS), the chemist finds the following information:Liquid Density Tetrahydrofuran 0.89gcm^3 Carbon tetrachloride 1.6gcm^3 Pentane 0.63gcm^3 Dimethyl sulfoxide 1.1gcm^3Acetone 0.79gcm^3. Next, the chemist measures the volume of the unknown liquid as 0.852L and the mass of the unknown liquid as 938.g . Calculate the density of the liquid. The interesting fact about Adolf Hitler's idea ofa German Master Race, was the fact thatwhich of the following was true?A. The description of the Master Race did not resemble nor includeHitler.B. The description of the Master Race resembled Hitler's father.C. The description of the Master Race included Jews.D. The description of the Master Race did not exist in Germany. PLESEEEEEEEE SOMEONE HELP ME I DIDNT STUDY FOR THIS QUIZ MUST HAVE ANSWERED MY PREVIOUS QUESTION!!! Compare the theoretical probabilities to your experimental probabilities. Why might there be a difference?