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There has been a great deal of controversy over the last several years regarding what types of surveillance are appropriate to p

alexira [117]

Answer:

Given that a person was identified as a future terrorist, there is a 2.8544% probability that he/she actually is a future terrorist.

Step-by-step explanation:

There are 1000 future terrorists in a population of 300,000,000. So the probability that a randomly selected person in this population is a terrorist is:

$P = \frac{1,000}{300,000,000} = 0.000003 = 0.0003%$

So, we have these following probabilities:

A 99.9997% probability that a randomly chosen person is not a terrorist.

A 0.0003% probability that a randomly chosen person is a terrorist.

A 98% probability that a future terrorist is correctly identified

A 99.9% chance of correctly identifying someone who is not a future terrorist. This also means that there is a 0.01% probability of someone who is not a terrorist being identified as one.

This can be formulated as the following problem:

What is the probability of B happening, knowing that A has happened.

It can be calculated by the following formula

$P = \frac{P(B).P(A/B)}{P(A)}$

Where P(B) is the probability of B happening, P(A/B) is the probability of A happening knowing that B happened and P(A) is the probability of A happening.

Here we have:

What is the probability that the person is a terrorist, given that she was identified as a terrorist.

P(B) is the probability that the person is a terrorist. So $P(B) = 0.000003$

P(A/B) is the probability that the person was identified as a terrorist, given that she is a terrorist. The problem states that the system has a 98% chance of correctly identifying a future terrorist, so $P(A/B) = 0.98$

P(A) is the probability of a person being a identified as a terrorist. So

$P(A) = P_{1} + P_{2}$

$P_{1}$ is the probability that a person is a terrorist and was identified as one. So:

$P_{1} = 0.000003*0.98 = 0.00000294$

$P_{1}$ is the probability that a person is not a terrorist and, but was identified as one. So:

$P_{2} = 0.999997*0.0001 = 0.0000999997$

So

$P(A) = P_{1} + P_{2} = 0.00000294 + 0.0000999997 = 0.000103$

The answer is:

$P = \frac{P(B).P(A/B)}{P(A)} = \frac{0.000003*0.98}{0.000103} = 0.028544$

Given that a person was identified as a future terrorist, there is a 2.8544% probability that he/she actually is a future terrorist.

3 0

3 years ago

A. 792 432,795 What is 432,795 divided by 792

Fittoniya [83]

It is 546.4583333333333, which would simplify to 546.46 if to the hundredths place or 546.5 to the tens place

8 0

3 years ago

Read 2 more answers

For p = $3000, r = 3.5%,and t = 5 years, Find the balance in an account When interest is compounded (a) quarterly, (b) monthly,a

MAVERICK [17]

Answer:

a) $3,571.02

b) $3,572.9

c) $3,573.74

Step-by-step explanation:

Data provided in the question:

p = $3000,

r = 3.5%,

t = 5 years

a) quarterly

number of periods in a year, n = 4

Interest rate per period = 3.5% ÷ 4 = 0.875%

Now,

$A = p\times \left( 1 + \frac{r}{n} \right)^{\Large{n \cdot t}}$

A = total amount

n = number of times compounded per year

on substituting the respective values, we get

A = 3000 × $\left( 1 + \frac{ 0.035 }{ 4 } \right)^{\Large{ 4 \cdot 5 }}$

A = 3000 × [/tex]\cdot { 1.00875 } ^ { 20 }[/tex]

A = 3000 × 1.19034

A = $3,571.02

b) monthly

number of periods in a year, n = 12

Now,

A = $p\times \left( 1 + \frac{r}{n} \right)^{\Large{n \cdot t}}$

on substituting the respective values, we get

A = 3000 × $\left( 1 + \frac{ 0.035 }{ 12 } \right)^{\Large{ 12 \cdot 5 }}$

A = 3000 × [/tex]\cdot { 1.002917} ^ { 60 }[/tex]

A = 3000 × 1.190967

A = $3,572.9

c) continuously

A = $pe^{r\times t}$

on substituting the respective values, we get

A = 3,000 × $e^{0.035\times 5}$

or

A = 3,000 × $e^{0.175}$

or

A = 3,000 × 1.1912

or

A = $3,573.74

5 0

3 years ago

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What is the slope of the line that passes through the points (7,−4) and (7,0)?

GrogVix [38]

Answer:

undefined

Step-by-step explanation:

To find the slope given two points we can use

m = (y2-y10/(x2-x1)

= (0 - -4)/(7-7)

= (0+4)/(0)

4/0

This slope is undefined since we are dividing by 0

5 0

3 years ago

74 – (25 + d) + ¾ d = 44 please show your work. Solve for d

Flauer [41]

Your answer is: d=20.

Here is my work:

74 – (25 + d) + ¾ d = 44
=−d/4+49=44
=d=20

6 0

3 years ago

Read 2 more answers