In 1982 John Hinckley was on trial, accused of having attempted to kill the then US President Ronald Reagan. Hinckley was found not guilty by reason of insanity. The defense psychiatric reports found him to be insane while the prosecution reports declared him legally sane. In particular, the defense sought to establish that brain scan results like John Hinckley's appeared in a higher percentage of schizophrenics than of normal people his age.
During Hinckley's trial, an expert witness, Dr. Weinberger, told the court that when individuals suffering from schizophrenia were given computerized axial tomography (CAT) scans, the scans showed brain atrophy in 30% of cases compared with only 2% of scans done on normal people. Health records show that 1.5% of the people in the United States suffer from schizophrenia. Hinckleys CAT scan showed brain atrophy. Calculate the probability that Hinckley suffered from schizophrenia given his CAT scan showed brain atrophy.

Answers

Answer 1

Answer:

O.186 or 18.6%

Step-by-step explanation:

Let s = event of schizophrenia

B = brain atrophy

From our question we have:

P(s) = probability of those suffering from schizophrenia = 1.5% = 0.015

P(B|S) = probability of brain atrophy = 30% = 0.30

P(S') = 1 - 0.015 = 0.985

P(B|S') = 2% = 0.02

Probability Hinckley suffered from schizophrenia

= P(S|B) = P(B|S)P(S)/P(B|S)P(S)+P(B|S')P(S')

= (0.30x0.015)/(0.30)*(0.015)+(0.02)(0.985)

= 0.0045/0.0045+0.0197

= 0.0045/0.0242

= 0.185950

This is approximately 0.186 or 18.6%


Related Questions

6b) (4.NF.B.4.c) One batch of brownies calls for 1 box of brownie mix and the added ingredients of eggs, water an oil. For "cake-like" brownies, 1 batch calls for 3 eggs, 1/4 cup of water and 1/4 cup of oil. How much of each of these ingredients are needed if you are baking 3 batches of brownies? *​

Answers

Answer:

9 eggs, 3/4 cup water, 3/4 cups of water

EXPLANATION:so 1/4×3, 3 is 3/1 as a fraction

you just multiply 1/4 and 3/1 first 1×3=3 then 4×1=4 so 3/4

what is the slope of (-2,1) and (0,1)

Answers

Answer:

0/2

Step-by-step explanation:

y2-y1 over X2-X1

M=rise over run

Write the number in scientific notation.
1,920,000

Answers

the answer is 1.92 x 10^6

Ms. Martin went for a pedicure. The pedicure was $25, and she tipped the girl 20%. How much did the trip to get a pedicure cost Ms. Martin?

Answers

The answer is $30

This is because $25 multiplied by 20% (25 x 0.2) is equivalent to 5

You add $5 tip to $25 and you get $30 total

A basketball player hit the basket eighteen times during the game. He scored a total of 30 points, two points for each field goal and one point for each free throw. If he threw 6 more field goals than free throws, how many field goals did he make? How many free throws did he make

-Pls provide work :)

Answers

Answer: He made 6 free throws and 12 field goals.

Step-by-step explanation:

Let x = Number of free throws

Then, Number of field goals = x+6

Number of times player hit the basket = 18

According to the question,

x+(x+6)=18

⇒ x+x+6=18

⇒ 2x+6=18

⇒ 2x=18-6

⇒ 2x=12

⇒ x=6              [Divide both sides by 2.]

So, he made 6 free throws and (6+6=) 12 field goals.

Use the figure shown.
Education
820
ontage
540
What is y?

Answers

Answer:

82+54=136

180-136=44

x=44

y=z=180-44=136°

Step-by-step explanation:

What is the meaning of define gas?

Answers

a combustible gas or gaseous mixture for fuel or lighting especially

are the triangles below acute obtuse or right? ( there’s more but it won’t let me put them on so I’m gonna make multiple questions)

Answers

Answer:

this is obtuse

Step-by-step explanation:

ONE OF THEM IS GREATER THAN 90 DEGREES :)

Find y'' if y= 9csc x

Answers

Answer:

y" = csc(x)[9cot²(x) - csc²(x)]

Step-by-step explanation:

Step 1: Define

y = 9csc(x)

Step 2: Find 1st derivative

y' = -9csc(x)cot(x)

Step 3: Find 2nd derivative

y" = 9csc(x)cot(x)cot(x) + -csc(x)csc²(x)

y" = 9csc(x)cot²(x) - csc³(x)

y" = csc(x)[9cot²(x) - csc²(x)]

2/3 divided by 4 and 1/6

Answers

Answer:

the answer is 0

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

2/3 divided by 4 and 1/6

Answer is 1

De qué manera relacionas lo que escuchas o lees en tu vida​

Answers

Answer:

La forma en que relaciono lo que escucho o leo en mi vida es a través de la interpretación de la información, es decir, todo aquello que leo o escucho es procesado, evaluado e interpretado conforme a mi experiencia, vivencias, estudios e ideología, lo que me permite obtener una conclusión de la información que percibo.

Así, no considero todo lo que leo y escucho como hechos comprobados, sino que lo someto a un análisis exhaustivo y completo respecto de su validez y sus implicancias respecto de mi persona.

this is a very good question that the brainly ppl cant delete, WHYYYYYYY?!
and also just to make sure they dont delete it tell me what is 10^3 = to

Answers

Answer:

1000

Step-by-step explanation:

I search it it cam in a calculator

Answer:

Its 1,000

Step-by-step explanation:

10 x 10 x 10 = 1,000

8 = 23 - 5w
Solve for w

Answers

Answer:

Step-by-step explanation:

8 = 23 - 5w

subtract 23 from both sides to cancel out 23

-15 = -5w

divide both sides by -5 to isolate w

3 = w, dividing a negative by a negative will result in a positive

You jogged 3 miles. How many kilometers is this?

Answers

Answer:

4.82803 kilometers

Step-by-step explanation:

1 mile is 1.609 kilometers

Answer:

4.828032

Step-by-step explanation:

Pls help!!! I will make you brainiest

Answers

Answer:

y=-x

Step-by-step explanation:

Answer:

f(x) = -x

Step-by-step explanation:

When x = 0 f(x) =0

We cannot and or subtract a number so eliminate choices b and c

When x is positive f(x) is negative

When x is negative  f(x) is positive

f(x) = -x

Question 1
Given f(x) = x2 + 7x + 3, and g(x) = 2x2 + 9x + 5,
find f + g.

Answers

The answer is


3x2 + 16x +8

A denominator is 0.4 and a numerator of 1.5 is equivalent t what fraction?

Answers

Step-by-step explanation:

you're welcome aaaaaaaa

ech
CHALLENGE
5)
14 -
What values of a make the relation
n{(a, 1), (2, 3), (4, 5); a function? Explain. I
<<

Answers

Answer:

Any number different from 2 or 4

Step-by-step explanation:

As long as the number a is not 2 or 4 (which would connect the value of "a" in the Domain with different numerical values in the Range, the relationship will be a function. A function requires that for any element of the Domain there is ONLY one associated element in the Range.

How does the new ratio compare to the original ratio 4: 7?

Answers

Answer:28

Step-by-step explanation:

At 11:00 p.m., the temperature in Alaska was −5°. Four hours earlier, the temperature was 40° warmer. What was the temperature at 7:00 p.m.?

Answers

Answer:

35

Step-by-step explanation:

If you put 40 - 5 it would equal 35 in the positive

What is the result when the number 42 is decreased by 50%?

Answers

Answer:

21 i think ;-; b. v.

Step-by-step explanation:

hyf6ygtuygfyjbfryjjhggyujhgrt

The measures of the sides of an
equilateral triangle are (3x+6),
(9x-12), and (6x-3). Find x and the
measure of each side of the triangle.

Answers

Answer:

108 3833 832 i73336533

The value of x is 3 units and the measure of each side of the triangle is 15 units.

Given that, the measures of the sides of an equilateral triangle are (3x+6),

(9x-12) and (6x-3).

What is an equilateral triangle?

An equilateral triangle is a triangle in which all three sides have the same length. In the familiar Euclidean geometry, an equilateral triangle is also equiangular; that is, all three internal angles are also congruent to each other and are each 60°.

Since, the sides of an equilateral triangle are, we get

3x+6=9x-12

⇒ 9x-3x=6+12

⇒ 6x=18

⇒ c=3

So, 3x+6 =9x-12 =6x-3 =15 units

Hence, the value of x is 3 units and the measure of each side of the triangle is 15 units.

Learn more about an equilateral triangle here:

brainly.com/question/3461022.

#SPJ2

PLEASE HELP IM BEING TIMED!!! WILL MARK BRAINLIEST FOR CORRECT ANSWER!!! 100PTS!!!

Adding two functions results in h(x) = –x + 9, while multiplying the same functions results in j(x) = –9x.

Which statements describe f(x) and g(x), the original functions? Select two options.
A. Both functions must be quadratic.
B. Both functions must have a constant rate of change.
C. Both functions must have a y-intercept of 0.
D. The rate of change of either f(x) or g(x) must be 0.
E. The y-intercepts of f(x) and g(x) must be opposites.

Answers

Answer:

Both functions must have a constant rate of change.

The rate of change of either f(x) or g(x) must be 0.

From the first equation we know that both f (x) and g (x) must be of order 1 or of order 0, since the maximum exponent of X is 1. This indicates that both functions must have a constant rate of change , since the derivative of a function of order 0 or of order 1 is a constant.

From equation 2 we know that both f (x) and g (x) are composed of a single term, since the multiplication of both results in a single term (-9x). In addition, we verify that one of the functions is of order 0 and the other is of order 1, since the result of the product is of order 1.

If f (x) or g (x) are of order 0, which means that they are composed of only one constant, the rate of change of any of the 2  functions is 0.

Step-by-step explanation:

Answer:

B and D.

Step-by-step explanation:

We know that when we added the two functions together, we get:

[tex]h(x)=-x+9[/tex]

However, when we multiplied them together, we get:

[tex]j(x)=-9x[/tex]

Let's first consider what we can determine from this.

If we add them together, we get a linear equation. However, this doesn't mean that our two original functions are linear since if we have, say, -x^2 and x^2-x+9, they will cancel and form a linear equation if we add them together.

However, since we know that if we multiply the two functions together, we get a linear equation, this means that both our original functions must be linear.

But, if we multiplied two linear functions, then we should get a quadratic, since x times x will yield x².

Therefore, this means that one of our linear functions is a horizontal line with no x variable. This is the only way to have a linear equation when multiplied.

Therefore, we have determined that both of our original functions are linear functions, and one (only one of them) is a horizontal line.

Let's go through each of the answer choices.

A) Both functions must be quadratic.

This is false as we determined earlier. If this was true, then the resulting function should be a quartic and not a line. A is false.

B) Both functions must have a constant rate of change.

Remember that all linear equations have a constant rate of change.

Since we determined that both our original functions are linear equation, this means that both our functions will have a constant rate of change.

So, B is true.

C) Both functions must have a y-intercept of 0.

Remember that one of our functions is a horizontal line.

If the y-intercept was 0, then the equation of our horizontal line will be:

[tex]y=0[/tex]

And we know that anything multiplied by 0 will give us 0. However, the product of our function is -9x.

So, C cannot be true.

Rather, only our linear equation (not the horizontal line) may have a y-intercept of 0.

D) The rate of change of either f(x) or g(x) must be 0.

Remember that we determined that one of our lines must a horizontal.

Remember that horizontal lines have a slope of 0. In other words, the rate of change is 0.

So, D is true.

E) The y-intercepts of f(x) and g(x) must be opposites.

Well, since B and D is are true, this must be false since we can only select two options ;D

But, we can think about this. Note that if we multiply the two functions, we have a function without a y-intercept.

Remember that our horizontal line is not 0. So, the y-intercept of the horizontal line is a number.

So, the opposite of a number is another number.

So, if we multiply two non-zero numbers, we must get another number.

However, from our product, j(x)=-9x, we don't have another number. The y-intercept from this is 0.

Therefore, the two y-intercepts cannot be opposites of each other. If it was so, then we should have a y-intercept. So, E must be false.

In fact, this means that the y-intercept of our line (not the horizontal one) must be 0.

So, our answers are B and D.

And we're done!

Edit: Some (minor) errors in reasoning. Sorry!

Charlie fills 2 more boxes with chocolates. These boxes have 7 layers of chocolates with 12 chocolates in each layer. Then, Charlie puts both boxes together in a larger box

Answers

Answer:

19

Step-by-step explanation:

Solve each System by Substitution.
5) 4x - 8y=6
x = 2y
I

Answers

Answer:

The answer is y = -1/3

Step-by-step explanation:

Hope this helps

PLS I NEED HELP! Translate these words into an algebraic phrase:

The difference of seven squared and eight

Answers

Answer:

7^2-8

Step-by-step explanation:

(just imagine that 2 is above the 7)

Since it asks for the diffrence, it's asking for a subtraction problem, and "7 Squared" is basicly saying to square the 7 before you subtrat

(if you want to know the answer to this algerbraic phrase, its 41)

does the graph show a proportional relationship? explain. ​

Answers

this graph is non-proportional because the line does not pass through the origin

I uploaded a picture

Answers

Answer:

37

Step-by-step explanation:

Part 2 out of 2 What is a reasonable range for this situation? Complete the explanation. A reasonable range is (8,27, 64, 125, 216, }. The range is the result of substituting each s-value of the domain into the function V(s)=s. The volumes of the boxes for the given side lengths are 873, 27 ft?, 64 ft?, 125 ft?, 216 and ft? Check Nendt Question 9 of 10 Next Questio Type here to search 0 ]​

Answers

Answer:

343 for both

Step-by-step explanation:

I had the same question

A 6 pack of soda costs $2.40. A 12 pack of the same soda costs $5.40. Which is
the better deal? Explain your reasoning.

Answers

Answer:

The answer is that the 6 pack of is a way better deal.

Step-by-step explanation:

Answer:

The six pack for $2.40

Step-by-step explanation:

As we all know, 6 is half of 12. So then, if the deals were to be equal, the price for six would be half of the price for 12. So $2.40 + $2.40 should equal $5.40. It doesn't. It equals $4.80, which is less than $5.40, which means that it is the better deal because you could buy two six packs and get it cheaper than a twelve pack.

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