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Ksju [112]
3 years ago
7

8=p/7 what does P equal

Mathematics
1 answer:
WITCHER [35]3 years ago
4 0

Answer:

P= 56

Step-by-step explanation:

Have a great day! ^w^

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A common blood test performed on pregnant women to screen for chromosome abnormalities in the fetus measures the human chorionic
goldfiish [28.3K]

Answer:

(a) The proportion of women who are tested, get a negative test result is 0.82.

(b) The proportion of women who get a positive test result are actually carrying a fetus with a chromosome abnormality is 0.20.

Step-by-step explanation:

The Bayes' theorem states that the conditional probability of an event <em>E</em>_{i}, of the sample space <em>S,</em> given that another event <em>A</em> has already occurred is:

P(E_{i}|A)=\frac{P(A|E_{i})P(E_{i})}{\sum\liits^{n}_{i=1}{P(A|E_{i})P(E_{i})}}

The law of total probability states that, if events <em>E</em>₁, <em>E</em>₂, <em>E</em>₃... are parts of a sample space then for any event <em>A</em>,

P(A)=\sum\limits^{n}_{i=1}{P(A|B_{i})P(B_{i})}

Denote the events as follows:

<em>X</em> = fetus have a chromosome abnormality.

<em>Y</em> = the test is positive

The information provided is:

P(X)=0.04\\P(Y|X)=0.90\\P(Y^{c}|X^{c})=0.85

Using the above the probabilities compute the remaining values as follows:

P(X^{c})=1-P(X)=1-0.04=0.96

P(Y^{c}|X)=1-P(Y|X)=1-0.90=0.10

P(Y|X^{c})=1-P(Y^{c}|X^{c})=1-0.85=0.15

(a)

Compute the probability of women who are tested negative as follows:

Use the law of total probability:

P(Y^{c})=P(Y^{c}|X)P(X)+P(Y^{c}|X^{c})P(X^{c})

          =(0.10\times 0.04)+(0.85\times 0.96)\\=0.004+0.816\\=0.82

Thus, the proportion of women who are tested, get a negative test result is 0.82.

(b)

Compute the value of P (X|Y) as follows:

Use the Bayes' theorem:

P(X|Y)=\frac{P(Y|X)P(X)}{P(Y|X)P(X)+P(Y|X^{c})P(X^{c})}

             =\frac{(0.90\times 0.04)}{(0.90\times 0.04)+(0.15\times 0.96)}

             =0.20

Thus, the proportion of women who get a positive test result are actually carrying a fetus with a chromosome abnormality is 0.20.

6 0
3 years ago
What is the difference for 43-17?
Zolol [24]
The answer is 26 hope that helped
4 0
3 years ago
Read 2 more answers
Evaluate the variable expression when a = 5, b = 5, and c = -4.<br> Bc divided by (2a)
zlopas [31]

Answer:

-2

Step-by-step explanation:

Bc÷2a

5×-4÷2×5

-20÷10

-2

6 0
3 years ago
Read 2 more answers
A set of a thousand numbers has a mean of zero.
Alona [7]

We want to find the mean of two elements in a set, given that we know the other elements of the set and the mean of the whole set.

The answer is: -490

-----------------------------

For a set with N elements {x₁, x₂, ..., xₙ} the mean is given by:

M = \frac{x_1 + x_2 + ... + x_n}{N}

Here we know that:

  • The mean of the set is 0.
  • The set has 1000 elements.
  • 998 of these elements are ones, the other two are A and B.

We want to find the mean of the values of A and B.

First, we can start by writing the equation for the mean:

\frac{1 + 1 + 1 + ... A + B}{1000}  = 0

We can rewrite this as:

1 + 1 + 1 +... + A + B = 0

And we have 998 ones, then:

1 + 1 + 1 +... + A + B = 998 + A + B = 0\\\\B = - 998 - A

Now we have B isolated.

With this, the mean of A and B can be written as:

\frac{A + B}{2}  = \frac{A - 980 - A}{2} = -490

So we can conclude that the mean of the other two numbers is -490.

If you want to learn more, you can read:

brainly.com/question/22871228

5 0
2 years ago
Out of 250 coins, 50 are in mint condition. What is the ratio of mint condition coins to the total number of coins?
dimulka [17.4K]

<u>Answer:</u>

1 : 5

<u>Step-by-step explanation:</u>

Given:

Mint condition coins = 50

Total number of coins = 250

Ratio

The questions asks for the ratio between mint condition coins to the total number of coins, so:

Mint condition coins : number of coins = 50:250

= 1:5 (simplified form)

Hope this helps :)

7 0
3 years ago
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