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

Can you please help me please

Answers

Answer:

$182.84

Step-by-step explanation:

169.30*0.08=13.54

13.54+169.30=

$182.84

Hope this helps!!

if -3x-8=16 what is the value of -2(x-7)

Answers

Answer:

-3x-8=16

-3x = 16+8

-3x = 24

x = 24/-3

x = -8

= -2(x-7)

= -2(-8-7)

= 30

Hope this helps you. Do mark me as brainliest.

please help helppppppp

Answers

it a quadrilateral, square, and parallelogram.

Multiple choice solution of the inequality

Answers

Your answer I’ll be choice C

Graph x > -2. PLEASE HELP!!!!!

Answers

Answer:

x > -2

Step-by-step explanation:

B/c the sign is  > it will be an open circle

B/c the sign is  > it will be an infinity line

Also, use math-way, it'll help u with everything

how do i solve this 14 − x = 5

Answers

Answer:

9

Step-by-step explanation:

because 14-5=9

You have to move X to make it by itself so it’ll read out 14 = x + 5 and then subtract 14 - 5 to get x. So, 14 - 5 = X which means X= 9

Solve the equation below. 2.3=p+0.6p=

Answers

Answer:

p=1.4375

Step-by-step explanation:

Which shapes can the composite figure be divided into to find the area?

O a rectangle and a triangle
O a rectangle and two triangles
O a trapezoid and a rectangle
O a trapezoid and two triangles

Answers

A rectangle and two triangles

Based only on the information given in the diagram, which congruence
theorems or postulates could be given as reasons why ABC=LMN?

A. ASA
B. LL
C. SAS
D. LA
E. HL
F. AAS

Answers

Answer:

C is the answer according to me

£399 is shared between Ann, Bill, Chloe and Dave

Answers

Answer:

99.75

Step-by-step explanation:

Helpppp please !!! Due in an hour

Answers

Answer:
y=-2/3x-4

The slope is rise over run. The y-intercept is where the line goes through y.

Calculate if C=24
PLEASE HELP!!! ​

Answers

Answer:

-51

Step-by-step explanation:

24 / 8 - 6 - 48 =

3 - 6 - 48 =

-3 - 48 = -51

Hope that helps!


Can someone please help me Ik it’s blurry but you have to zoom in it’s due tomorrow

Answers

Answer AND Step-by-step explanation:

1. x = 53°    Supplementary Angles Theorem

2. x = 37°    Complementary Angles Theorem

3. x = 45°    Right angle = 90°, and 90 divided in half is 45, so 45 + 45 = 90

4. x = 180°    Straight lines are 180 degrees.

5. x = 130°    Vertical Angles Theorem

6. x = 90°    Right Angle, and Vertical Angles Theorem

7. x = 15°    Complementary Angles Theorem

8. x = 60°    Supplementary Angles Theorem

9. x = 20°    Complementary Angles Theorem

10. x = 140°    Supplementary Angles Theorem

11. x = 47°    Supplementary Angles Theorem

12. x = 18°    Supplementary Angles Theorem

Supplementary Angles Theorem - two angles that are next to each other and add up to 180 degrees.

Complementary Angles Theorem - two angles that are next to each other and add up to 90 degrees.

Vertical Angles Theorem - Angles that are directly across from each other made by an intersection will have the same angle value.

#teamtrees #PAW (Plant And Water)

graph y = 1/2x+3
identify the x intercept
step by step explanation

Answers

Step-by-step explanation:

x-intercept: where y = 0

Set y to zero to find x.

0 = ½x + 3

-3 = ½x

x = -6

(-6, 0)

please help me please help me please help​

Answers

A is august and B is October

Answer:

a) September; b)October

Step-by-step explanation:

Just do the calculations, for example: 71+(-293). You will see September has a drop less 210 dollars and October has the biggest change of sales.

Samantha is making a trapezoidal picture frame. She measured the frame. One of the bases is 6.5 cm and the height is 8 cm. What must the length of the other base be in order for the area of the frame to be between 45 2 and 60 2 ? Circle all that apply

Answers

Answer:

between 45 and 60?

Step-by-step explanation:    

5.5 and  8,

Write the standard equation for the circle center (-6, 7), r= 9.

O(x – 6)2 + (y + 7)2 = 9

(x – 7)2 + (y + 6)2 = 81

(x + 5)2 + (y – 7)2 = 81

(x+6)2 + (y – 7)2 = 9

Answers

Answer:

(×+6)^2 + (y -7 ) ^2=81

Step-by-step explanation:

hope this helps

write the sum using summation notation -1+2+5+8+...+44

Answers

Answer:

[tex]\sum_{i=0}^{15} (3i-1)[/tex]

Step-by-step explanation:

for i=0 you have the first term, 3*0-1 = -1

for i=1 you have the second term, 3*1-1 = 2

...

for i=15 you have the last term, 3*15-1 = 44

What is the value of x?
40
55
A. 95
B. 85
C. 750
D. 105

Answers

Answer:

B. 85

Step-by-step explanation:

A triangle has a total of 180 degrees.

85 + 55 = 140

140 + 40 = 180

Your answer is B. 85

The value of x is 85°

What is sum of angles of triangle ?

The sum of interior angles of a triangle are 180°

If ∠A, ∠B, ∠C are three interior angles of a triangle,

Then ∠A+∠B+∠C = 180°

What is the required angle ?

Given that, Two angles of the triangle are 40° & 55°

Let, the third angle be x.

Then, Sum of angles = 180°

     ⇒ 40°+55°+x = 180°

     ⇒ x+95° = 180°

     ⇒ x = 180°-95°

     ⇒ x = 85°

The value of x = 85°

Learn more about angle of triangle here :

https://brainly.com/question/9916775

#SPJ2

Simplify 272. please help me i can't seem to get the answer right.

Answers

Simplify

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Exact Form:

4

17

Decimal Form:

16.49242250

Hope this helped

can i be marked as brainliest

You toss a coin 100 times and get only 12 heads. Do you have reason to suspect the coin is unfair

Answers

Answer:

No

Step-by-step explanation:

The coin has 2 sides. Heads and tales. If you flipped a million heads in a row, on your next flip, there is still a 50 percent chance of flipping tales. Just become the outcome has been favorable to tales doesn't mean the probability changes

Simplify the expression by combining like terms:
-5y+2y

Answers

Answer:

Step-by-step explanation:

You can think of it like adding two regular numbers, but you have to keep the y so:

-5y + 2y = -3y

What part of an hour passed from 4:30 P.M. to 4:45 P.M.?

Answers

Answer:

15 minutes it what we call it pretty sure its 10

Step-by-step explanation:

Answer:

15min or a quarter of an hour.

Step-by-step explanation:

3y=54 what is y in the equation

Answers

Answer:

y=18

Step-by-step explanation:

54 divided by 3 = 18

Hope this helps :)

(Brainliest?)

Answer:

18

Step-by-step explanation:

Divide each side by 3

54/3 = 18

Kristin draws a different circle. The radius of Kristin's circle is 1/2 the radius of Ben's circle. Which statement is true about Kristin's
circle?
O A The area of Kristin's circle is 2 times the area of Ben's circle.
OB. The area of Kristin's circle is 4 times the area of Ben's circle.
C. The area of Kristin's circle is 1/4 the area of Ben's circle.
D. The area of Kristin's circle is 1/2 the area of Ben's circle
Help please hurry !!

Answers

Answer:

[tex]\large\boxed{\textsf{Option D.}}[/tex]

Step-by-step explanation:

[tex]\textsf{For this problem, we are asked to compare the areas between Kristin's and Ben's circle.}[/tex]

[tex]\textsf{To start, we should know that the Radius plays an important role for the area.}[/tex]

[tex]\Large\underline{\textsf{What is the Radius?}}[/tex]

[tex]\textsf{The \underline{Radius} is a \underline{line segment} that starts at the \underline{center} of the circle, and ends at}[/tex]

[tex]\textsf{a point on the \underline{circumference} of the circle. (\underline{Arc})}[/tex]

[tex]\large\underline{\textsf{Area of a Circle:}}[/tex]

[tex]\mathtt{Area = \pi (radius)^{2}}[/tex]

[tex]\textsf{The Radius \underline{determines} what the area of the circle is.}[/tex]

[tex]\textsf{Because Kristin's radius is 1/2 of Ben's radius, \underline{the area will be 1/2 of Bens}.}[/tex]

[tex]\large\boxed{\textsf{Option D.}}[/tex]

Elena finds that the area of a house on a scale drawing is 25 square inches the actual area of the house is 2025 ft what is the scale of the drawing​

Answers

Answer:

81 is the scale of drawing.

Step-by-step explanation:

Area of the house in drawing = A =

Let the factor by which scaling is present in the drawing be s.

Area of the house in reality = A' =

The area for the trapezoid is in2.

Answers

Answer:

1204

Step-by-step explanation:

What is the slope of the line in the graph?

Answers

Answer:

1 is the answer 1/1 because it goes one up and one right

Answer:

1

Step-by-step explanation:

First choose any 2 points in the line for example ( 2,3 ) ( 3,4 )

[tex]\frac{3-4}{2-3}[/tex]  = 1

What's the slope of the line through (1,3) and (-2,-3)

Answers

Answer:

m = 2

The slope of the line through (1, 3) and (-2, -3) is 2!

The formula to find the slope is attached below.

Hope I was of help. Have a good new year!

the sum of the ages of tracy and her mother is 60 if tracys present age is y years write a linear expression for her mothers age after 5 years​

Answers

Answer:

Step-by-step explanation:

m = 60-y

m+5 = 65-y

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