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dalvyx [7]
3 years ago
5

In a jury trial, suppose the probability the defendant is convicted, given guilt, is 0.95, and the probability the defendant is

acquitted, given innocence, is 0.95. suppose that 90% of all defendants truly are guilty. find the probability the defendant was actually innocent given the defendant is convicted.
Mathematics
1 answer:
Artyom0805 [142]3 years ago
6 0

Answer:

The probability of the defendant is innocent given the defendant is convicted is P=0.006.

Step-by-step explanation:

Being:

G: guilty, I:innocent, C: convicted, A: acquitted.

We need to calculate P(I|C).

Being innocent, given convicted, is equal to the probability of being innocent and convicted divided by the probability of being convicted (innocent or guilty)

P(I|C)=\frac{P(I\&C)}{P(C)}

The probability of being innocent and convicted is

P(I\&C)=P(C|I)*P(I)=0.05*0.1=0.005

The probability of being convicted is equal to the sum of P(I&C) and P(G&C)

P(C)=P(I\&C)+P(I\&C)=P(C|I)*P(I)+P(C|G)*P(G)\\\\P(C)=0.005+0.95*0.90=0.005+0.855=0.86

Then,

P(I|C)=\frac{P(I\&C)}{P(C)}=\frac{0.005}{0.86}= 0.006

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Answer:

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Step-by-step explanation:

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4 0
2 years ago
My teacher wouldn't help me.. and this is my last question. I need to know how to find the perimeter of the geometric figure (it
nika2105 [10]
This isn't really a geometry problem.  It's just an addition of fractions.

You know that 'perimeter' means 'the distance all the way around'.
And you know the length of all the sides of the parallelogram.
All you need to do is add them up !

(13/12) + (3/13) + (13/12) + (3/13) = the perimeter

Notice that two of the sides are equal, and the other two sides are also equal.
So you can make the job a little easier if you add up the twelfths first

(13/12) + (13/12) = 26/12

and then add up the thirteenths ...

(3/13) + (3/13) = 6/13 .

Now, the perimeter looks a little bit less complicated.
It's just
                   (26/12) + (6/13) = the perimeter.

This is the tough part.  Before you can add fractions, they need to have
a common denominator. 

The smallest common denominator for 12ths and 13ths is  <em>156 </em>!
Change each fraction to (<em>something over 156</em>), and add um up.
I'll leave that part to you.


5 0
4 years ago
What is 14/52 as a decimal
Kisachek [45]

Answer:

0.2692307692

Step-by-step explanation:

14/52 = 0.2692307692

7 0
3 years ago
How many places do you need to move the decimal to the left to write the number below in scientific notation?
bonufazy [111]

Answer:

A) 1.3*10¹

B)7*10⁰ - Actually I am not very sure if it is required to write 10⁰. I normally don't write 10⁰ (When I solve problems in physics if the answer for example is 7 I just write 7 not 7*10⁰). But if you check on Google 10⁰ has been mentioned

C)1.4*10¹

D)1.2*10¹

Step-by-step explanation:

For any number when you express it in a scientific notation, You should make sure that the number (for example : X) X which is going to be multiplied with a power of 10 (for example:10³,10⁴10¹⁰ etc), X should be between 1 and 10

This might sound very complicated so I can give you an example to simplify

Let's take 1.3*10¹

In this case X is 1.3

This means X*10¹

The number X is being multiplied with the power of 10(example:10¹,10²,10⁰,10⁹ ,etc) .In the above case X is being multiplied with 10¹.

Now this number X should be between 1 and 10.(Including 1)

Scientific notation= X*power of 10

where x>=1 & x<10

That is the explanation

Hope it helps

If you think my explanation is a bit complicated

you can ask me again

5 0
3 years ago
The of choice are ways epress 0.4 which is not
Ann [662]

Answer:

NO IT IS 4

Step-by-step explanation:

6 0
3 years ago
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