1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Margaret [11]
2 years ago
15

400 Suppose a particular surveillance system has a 99% 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 400 million, and one of these 400 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
Mathematics
1 answer:
alexgriva [62]2 years ago
8 0

Answer:

1.236 × 10^(-3)

Step-by-step explanation:

Let A be the event that the person is a future terrorist

Let B the event that the person is identified as a terrorist

We are told that there are 1,000 future terrorists in a population of 400 million. Thus, the Probability that the person is a terrorist is;

P(A) = 1000/400000000

P(A) = 0.0000025

P(A') = 1 - P(A)

P(A') = 1 - 0.0000025

P(A') = 0.9999975

We are told that the system has a 99% chance of correctly identifying a future terrorist. Thus; P(B|A) = 0.99

Thus, P(B'|A) = 1 - P(B|A)

P(B'|A) = 1 - 0.99

P(B'|A) = 0.01

We are told that there is a 99.8% chance of correctly identifying someone who is not a future terrorist. Thus; P(B'|A') = 0.998

Hence: P(B|A') = 1 - P(B'|A')

P(B|A') = 1 - 0.998

P(B|A') = 0.002

We want to find the probability that someone who is identified as a terrorist, is actually a future terrorist. This is represented by: P(A|B)

We can find it from bayes theorem as follows;

P(A|B) = [P(B|A) × P(A)]/[(P(B|A) × P(A)) + (P(B|A') × P(A')]

Plugging in the relevant values;

P(A|B) = [0.99 × 0.0000025]/[(0.99 × 0.0000025) + (0.002 × 0.9999975)]

P(A|B) = 0.00123597357 = 1.236 × 10^(-3)

You might be interested in
Eight friends ate at a restaurant and agreed to share the bill equally. Because Judi forgot her money, each of her seven friends
galina1969 [7]
Judi's share was  (7 x $2.50) =  $17.50 .

That was really one share out of eight.
So the total bill was

                             (8 x $17.50) =   $140.00 .
5 0
3 years ago
What scale factor was applied to the first rectangle to get the resulting image?
madam [21]

Answer:

The scale factor for the resultant rectangle is\frac{2}{5} units.

Step-by-step explanation:

Given two rectangles with sides 3 units and 7.5 units.

We have to find the scaling factors so that we can obtain bigger rectangle of 7.5 units from smaller rectangle of 3 units.

Scale factor is defined as the ratio  of corresponding side of given figure to the corresponding side of resulting figure.

That is \text{Scale factor}=\frac{\text{length of side of given figure}}{\text{length of side of resulting figure}}

Here, \text{Scale factor}=\frac{\text{length of side of given rectangle }}{\text{length of side of resulting rectangle}}

\text{Scale factor}=\frac{3}{7.5}=\frac{2}{5}

Hence, the scale factor for the resultant rectangle is\frac{2}{5} units.  

4 0
2 years ago
What is the Volume if the Mass = 35g and Density = 5g/cm^3 ?
VLD [36.1K]

density = mass / volume

4 = 35 / v

v = 35/4 = 8.75 cm^3

6 0
2 years ago
11) Which shows another way to write 6%?<br> A) 6<br> B) -6<br> C) 0.06<br> D) six tenths
Ainat [17]

Answer:

i think C. 0.06 is answer

Step-by-step explanation:

6% = 6/100 = 0.06

7 0
2 years ago
Read 2 more answers
Find the greatest common factor of 10, 30,10,30,10, comma, 30, comma and 454545.
borishaifa [10]

Answer:

GCF = 5

Step-by-step explanation:

Given:

The numbers are given as:

10, 30 and 45

A factor of a number is a number by which the given number is evenly divisible.

Example: 2 is a factor of 4 as 4\div 2 =2. So, 4 is evenly divisible by 2 and hence 2 is a factor of 4.

Now, factors of 10 = 1, 2, <u>5</u>, 10.

Factors of 30 = 1, 2, 3, <u>5</u>, 6, 10, 15, 30.

Factors of 45 = 1, 3, <u>5</u>, 9, 15, 45.

So, the greatest common factor in all the three numbers is 5.

Hence, the greatest common factor of 10, 30 and 45 is 5.

5 0
3 years ago
Other questions:
  • Here you guys go. Please help more on these probs.
    9·1 answer
  • Drake wants to save $750 so that he can take a class on computer analysis for cars. The class is being held on various dates ove
    5·2 answers
  • Please can you answer (2.5 × 10−2) ÷ (3.8 × 103)
    12·2 answers
  • Joan mails a package that weighs 140 G about how many ounces is thepackage use 1 oz equals 28.4 gram
    12·1 answer
  • I need help with this problem its 620÷20 and 600÷100
    9·2 answers
  • 1. Estimate the y intercept for the line of best fit for the data
    15·1 answer
  • What is the value of the expression 6 3/4 ( -11.5)?
    5·1 answer
  • You deposit 500 in a savings account that earns 9% annual interest compounded monthly. Enter a function that represents the bala
    9·1 answer
  • Find (g o f) (x) <br> F(x)= x^2 - 7x + 14 <br> g(x)= 4x-9
    15·1 answer
  • Question 10 of 10
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!