In the year 2054 the government estimates that out of every 1,000,100 citizens 1,000,000 will remain law-abiding, and 100 will eventually commit a crime. The government is deciding whether to rely on the clairvoyant Precogs to stop the criminals before they commit the crime. If a person is going to commit a crime, the Precogs identify that person correctly 99.999% of the time (in other words, the Precogs fail to predict crime only in 0.001% of the cases). If a person is not going to commit a crime, the Precogs identify that person as law-abiding 99.99% of the times (in other words, the Precogs convict innocent people only in 0.01% of the cases). What is the probability that a person flagged as a future criminal by the Precogs will actually commit a crime

Answers

Answer 1

Answer:

0.9091 = 90.91% probability that a person flagged as a future criminal by the Precogs will actually commit a crime

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

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

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Flagged as future criminal

Event B: Commits a crime.

In the year 2054 the government estimates that out of every 1,000,100 citizens 1,000,000 will remain law-abiding, and 100 will eventually commit a crime.

This means that [tex]P(B) = \frac{100}{1000100} = 0.00009999[/tex]

If a person is going to commit a crime, the Precogs identify that person correctly 99.999% of the time

This means that [tex]P(A|B) = 0.99999[/tex]

Probability of being identified as a criminal:

0.99999 out of 0.00009999(identified and commits crime).

(1-0.99999) out of (1-0.00009999) (identifed and does not commits crime). So

[tex]P(A) = 0.99999*0.00009999 + (1-0.99999)*(1-0.00009999) = 0.000109988[/tex]

What is the probability that a person flagged as a future criminal by the Precogs will actually commit a crime

[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)} = \frac{0.00009999*0.99999}{0.000109988} = 0.9091[/tex]

0.9091 = 90.91% probability that a person flagged as a future criminal by the Precogs will actually commit a crime


Related Questions

I need help with this if you get it right I will mark you

Answers

interior angle sum of a triangle is 180, so 180=38+26+2n
180=64+2n
116=2n
58=n
the answer is c

I need to write fractions as mixed numbers 36/6 20/10 15/8 13/6​

Answers

36/6 = 6

20/10 = 2

15/8 = 1 7/8

13/6 = 2 1/6

Hope this helped!

Answer:

6, 2, 8 7/8, 2 1/3

Step-by-step explanation:

36/6 represents a division: 36 divided by 6

answer: 6

20/10 also division: 20 divided by 10

answer: 2

15/8 also division (long division...) 15 divided by 8

you will have a remainder (that will become your numerator)

the decimal of that division is 1.875 as a fraction that is a mixed number:

8 AND 875/1000  but!! you are not done yet (that fraction has to be simplified)

If you divide the fractional portion by the greatest common factor (125) you can simplify your fraction to 8 7/8

13/6 is 13 divided by 6 = 2 with a remainder of 2 = 2 2/6 simplified = 2 1/3

A hotel has two different ice machines that fill buckets of ice independently of each other. Let A represent the amount of ice in a bucket filled by machine A, and let B represent the amount of ice in a bucket filled by machine B. Which of the following choices explains the meaning of independent random variables in context?

Answers

C.) The independence of the two ice machines means that knowing how much one machine fills does not help us predict how much the other fills.

A movie theater charges $12.00 for adults and $4.50 for children under the age of ten. A group of adults and children went to the movies and spent $75.00 on 10 tickets. How many adults and how many children went to the move?

Answers

Answer:

4 Adults and 6 Children went to the movies.

Step-by-step explanation:

(Children) $4.50 x 6 = $27.00

(Adults) $12.00 x 4 = $48.00

$48.00 + $27.00 = $75.00

13. How much money will 8820 Vield in investa
+ 5%. for 3 years and compounded
continuosly and semiannually and determine
which eams more?

Answers

9514 1404 393

Answer:

10,247.38 from continuous compounding10,228.50 from semiannual compoundingcontinuous compounding earns more

Step-by-step explanation:

The formula for the account balance from continuously compounded interest at annual rate r for t years is ...

  A = Pe^(rt) . . . . P = principal invested

  A = 8820e^(0.05·3) ≈ 10,247.38 . . . continuous compounding

__

The formula for the account balance from interest compounded semiannually at annual rate r for t years is ...

  A = P(1 +r/2)^(2t)

  A = 8820(1 +.05/2)^(2·3) ≈ 10,228.50 . . . semiannual compounding

Continuous compounding earns more.

You take a 325 milligram dosage of ibuprofen. During each subsequent hour, the amount of medication in
your bloodstream decreases by about 29% each hour

Answers

Answer:

oka so now what

Step-by-step explanation:

Natalie wants to know how much money her computer costs each day if she never turns it off. She uses a meter to record the amount of energy her computer uses each day for 30 days. After recording the cost for 30 days, she determined the cost to run her computer is equal to the function /(d), where f(d) = 0.40d, where d is the number of days What is the value of '(d) at f(30)? dollars 4. What is the value of f(30) in context? I Running a computer for 30 days will cost her $ in electricity.​

Answers

Answer:

Step-by-step explanation:

f(30) = 0.40×30 = $12

Running the computer for 30 days will cost $12 in electricity.

x - 4y = 1 and 3x + 2y = -11. What is the solution to the system of equations?

Answers

Answer:

x=-3 y=-1

Step-by-step explanation:

The solution is

The value of x = -3

The value of y = -1

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the first equation be = A

Now , the value of A is

x - 4y = 1   be equation (1)

Let the first equation be = B

Now , the value of B is

3x + 2y = -11   be equation (2)

Now , on simplifying both equations , we get

Multiply equation (1) by 3 , we get

3x - 12y = 3   be equation (3)

Subtracting equation (2) from equation (3) , we get

-12y - 2y = 3 - ( -11 )

-14y = 14

Divide by -14 on both sides of the equation , we get

y = -1

So , the value of y = -1

Substitute the value of y in equation (1) , we get

x - 4y = 1

x - 4 ( -1 ) = 1

x + 4 = 1

Subtracting 4 on both sides of the equation , we get

x = -3

So , the value of x = -3

Hence , the value of x is -3 and value of y is -1

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

which is more, 6 miles or 31,678 feet ?

Answers

6 miles as 31678 feet is 5 miles

Answer: 6miles

Step-by-step explanation: 6miles = 31680ft so 31680>31678

plz help my friend plz and thank you

Answers

The answer is prob c

Answer:

8.7 ≈ 9

Step-by-step explanation:

2πr = 55, so r = 55/(2*3.14) ≈ 8.7579...

Answer these questions please:

What step did the error come in?

What did they do wrong ?

Answers

Answer:

Step 1,                 4=3(d+1)-5   should be 4=3d+3-5

Step-by-step explanation:

what is the lowest common multiple of 3 , 4 and 2

Answers

12 is the answer
Explanation:

A rectangular has an area of 12 ft.² and a length of 5 feet what is the width

Answers

Answer:

12/5

Step-by-step explanation:

Width times Length = the area

w*5 = 12

w = 12/5

Answer:

w=2.4ft

Step-by-step explanation:

2. Three fourth of the students and an additional 18 students at the school purchased a spirit shirt during the last fundraiser. If 336 shirts were ordered, how many students are there in the school?​

Answers

Step-by-step explanation:

The correct answer is 237

Answer:257

Step-by-step explanation:

5 x 5/10 as a fraction

Answers

Use Photomath it will help

guys i need help on this problem I'm stuck

Answers

Answer:

y=mx+b is slope intercept form

Step-by-step explanation:

letter B :)

The answer is y = mx + b
m is the slope and b is the y-intercept

what is the me big of fraction​

Answers

Answer:

me big of fraction? what is that? :(

Step-by-step explanation:

please answer my question because it is worth a lot of points

Answers

Answer:

Triangular prism

Step-by-step explanation:

Triangular prism

Search it up it is right

What is the multiplier for a decrease of 38%?

Answers

Answer:

Step-by-step explanation:

times .62

PLSSS HELP ASAP I BEG WILL MARK BRAINLIEST

Answers

Answer:

The awsner is C

Step-by-step explanation:

C is the awnser

Whole page for 81! Good luck!

Answers

Answer:

Prime number: A prime number has factor of only 1 and itself.

Ex: 3: 1 and 3 are the only ways to compose 3.

A whole number that has factors other than 1 and itself is called a composite number.

Ex: 8: the factors of 8 include 1,2,4,8

Circle 5,7,2,19,3,11

Box 18,20,22,16,15,30,26,38,45,10,21,6,14

To determine the prime factorization of a number, you must break down a number into its factors. (im not sure?)

Continute until all of the factors are (im not sure)

Prime factorization is written exponential form (im not quite sure)

30= 2x3x5

30= 2^1 3^1 5^1

24=2 × 2 × 2 × 3

24= 2^3 x 3

sorry idrk if they are all right

In A QRS, ZRTQ - STR.
R
S
Which relationship proves that ZQRS is a right angle?

Answers

Answer:

A

Step-by-step explanation:

hhjjjjkkkdaa vhjkkjddgj hjkjcgh

Can someone help me please

Answers

Answer:

"I can find the maximum or minimum by looking at the factored expression of a quadratic function by reading off its roots and taking the arithmetic average of them to obtain the [tex]x[/tex]-coordinate of the quadratic function, and then substituting that value into the function."

Step-by-step explanation:

Because of the symmetry of quadratics (which is the case here because we have two factors of degree 1, so we are dealing with a polynomial of degree 2, which is a fancy way of saying that something is a quadratic), the [tex]x[/tex]-coordinate of the extremum (a fancy way of saying maximum or minimum) is the (arithmetic) average of the two roots.

In the factored form of a quadratic function, we can immediately read the roots: 3 and 7. Another way to see that is to solve [tex](x-3)(x-7)=0[/tex], which gives [tex]x-3=0 \vee x-7=0[/tex] (the 'V' stands for 'or'). We can take the average of the two roots to get the [tex]x[/tex]-coordinate of the minimum point of the graph (which, in this case, is [tex]x=\frac{3+7}{2} = \frac{10}{2} = 5[/tex]).

Having the [tex]x[/tex]-coordinate of the extremum, we can substitute this value into the function to obtain the maximum or minimum point of the graph, because that will give the [tex]y[/tex]-coordinate of the extremum.


The second one Thank you

Answers

11 days for the second question

a bag contains 3 red balls 3 green ball and 1 blue ball.a ball is chosen at random and then placed back in the bag. a second ball is chosen at random. Find the probability that :a) the first ball is red?​

Answers

Answer:

its a three out of seven then it stays the same

Step-by-step explanation:

Josh bought 2 pairs of $15 jeans. He also bought three shirts that were $10 each minus a $1 clearance
discount on each shirt. Finally he made a stop to get cookies for his party. The cookies cost $3 per dozen and
he needed 6 dozen. Which expression represents Josh's purchases? What was Josh's total money spent?

Answers

Answer:

Answer: $75 Equation: (15×2)+3(10-1)+(3×6)=75

Step-by-step explanation:

Ratio 7/11 two other ways

Answers

Answer:

Isn't it 7:11 and 7 to 11

Step-by-step explanation:

help me, please!!!!!!!

Answers

9514 1404 393

Answer:

  2

Step-by-step explanation:

Alex has 10 money units. Annie has 5 money units. The ratio of amounts is ...

  Alex : Annie = 10 : 5 = 2 : 1

Alex has 2 times as much money as Annie.

Answer what you can. You don’t have to show your work but please do.

Answers

Answer:

I'll help with the first 2

(  12/4x7-18=

12/4=3

3x4=12

12-18= -6  )

(  8[tex]{2}[/tex] - 22/2x7=

8x2=16

22/2=11

11x7=77

16-77= -61  )

Step-by-step explanation:

PEMDAS

P-(  ) Parenthesis

E- Ex[tex]x^{2}[/tex]  (Exsample-2[tex]{2}[/tex] = 2x2=4 )

M=Multiplication X

D-Division

A-Add +

S-Subtraction

help its pre algebra

Answers

Answer:

Burger = $15

Hot Dog = $10

Step-by-step explanation:

b=35-2h

4(b-2h)+6h=120

4(35-2h)+6h=120

140-8h+6h=120

140-2h=120

-2h=120-140

-2h=-20

h=10

b=35-2h = 35-20 = 15

Other Questions
Convert to standard form: 3y -17 = 2x HELP ASAPSimplified the expression help me please I am very confused T-T what 80s Disney movie was called the movie that nearly killed Disney? P.S. look it up what is 832+609+5430 help pls i fell asleep i wanna go back help ;;-;; Ok so I don't understand how to do this-Can someone explain how?Shanghai, China (31 N, 121 E)1. 24-hr Average Yearly Temperature in C2. Total Yearly Precipitation in mm I have a triangle: Angle A = 3x +28; Angle B = 5x +52; Angle C = 2x - 10: Solve for X Type an equation for the line shown in the graph. What is the circumference and area of this circle? (Use 3.14 for pi) which two number are 10 away from 20? A jelly bean factory packaged 913 special ordered bags last Tuesday. The shift manager randomly picked seven bags to count the number of jelly beans.8, 6, 11, 15, 6, 11, 6If the sample was representative of all the bags packaged on Tuesday, what was the mode of the number of jelly beans of all the bags? A. 6 B. 15 C. 8 D. 11 Percent of changeFind the Percent of decrease for the following problems:1. Chad played three hours of Pokmon Go per day during the summer. Sinceschool began, he is only allowed to play one hour per day.2. Karen has 7 Eevees in her Pokmon stash. She transferred some in to theProfessor and now only has 2 Eevees.3. It takes 200 coins to get a bag upgrade in Pokmon Go. The creatorsdecided to throw a sale on bag upgrades. For one day only, anybody canupgrade their bag for 125 coins. The author writes, "Who would lug 1,000 pennies to the movies when they could bring a $10 bill?" What literary device is he using?Group of answer choicesrhetorical questionhyperbolemetahorsymbolism Lipids may contain ____ and small amounts of phosphorus and nitrogen While working a summer job, London earned $182 in 7 hours. Find therate of change. El _________ y la _________crecen en lugares de clima clido.A. banano, cafB. caf, caa de azcarC. caf, gallinaD. mango, maz what is the relationship between limited government and rule of law These photosynthetic protists produce one third of the Earths oxygen that is generated through photosynthesis.A) algaeB) mossC) parameciaD) protozoans 4.M-2-10y4L3-21KI1 2 3 4 5 6 7 8 911K-2-3-4-5-6M "L'