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Leni [432]
3 years ago
6

5miles from 16miles what is the increase

Mathematics
1 answer:
Mariulka [41]3 years ago
4 0
The increase in miles would be 11 miles
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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
HELP 20 POINTS!! Where is point A on the number line?
Bingel [31]

Answer:

3 1/2

Step-by-step explanation:

6 0
3 years ago
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Shirley has earned $148 doing chores, but she wants to have earned at least $200 by the end of the week. if she does chores ever
asambeis [7]
Next 7 days
amount needed-amount now=amount in each day200-148=52
52 in 7 daysdivide by 752/7=7.4285round7.43
need to earn about $7.43 each day
5 0
3 years ago
The sum of 4 consecutive integers is 354.<br> What is the second number in this sequence?
Ulleksa [173]

354 / 4 = 88.5

 so2 numbers below that and 2 numbers above that:

87 + 88 + 89 +90 =


2nd number is 88

8 0
3 years ago
7 more than 3 multiplied by x algebraic expression ​
Karolina [17]

Answer:

3x + 7

Step-by-step explanation:

3 0
3 years ago
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