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3 years ago

Choose the mixed number for this decimal.

Mathematics

1 answer:

g100num [7]3 years ago

3 0

Ik this is not what you were looking for but what kind of problem is this lol. i never seen this

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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 E $_{i}$ , of the sample space S, given that another event A 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 E₁, E₂, E₃... are parts of a sample space then for any event A,

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

Denote the events as follows:

X = fetus have a chromosome abnormality.

Y = 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

Complete the solution of the equation. Find the

weeeeeb [17]

Answer: " y = -10 . "

___________________

Step-by-step explanation:

___________________

The question:

Find the value of "y" when "x" equals 17.

Given the equation:

- x + y = -27 ;

___________________

We plug in the given value: "17" ; for "x" ; and solve for "y" :

- 17 + y = -27 ;

_____________________

↔ y + (-17) = -27 ;

Rewrite as:

y − 17 = -27 ; {since: "adding a negative value" is the same

as "subtracting a positive value."}.

_____________________

Now, we add "17" to each side of the equation;

to isolate "y" on one side of the equation; and to solve for "y" :

y − 17 + 17 = -27 + 17 ;

to get:

y = - 10 .

_____________________

Hope this is helpful to you.

Best wishes to you in your academic pursuits—

and within the "Brainly" community!

_____________________

7 0

3 years ago

Read 2 more answers

Help me i nedd help...........

VMariaS [17]

Answer:

The answer is 10 12/85 Hope you pass!

4 0

3 years ago

Zack bought a coat for $69.78. He paid with a $100 bill and received $26.73 in change.How Much was the sales tax? Show your work

Sindrei [870]

69.78+26.73-100 just use your calculator and you will out and that a hint

7 0

3 years ago

Help me with this problem

Alexus [3.1K]

Answer:

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Step-by-step explanation:

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3 years ago