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2 years ago

11

Teri ran 8 kilometers one mile is approximately equal to 1.6 kilometers. Which measurement is closest to the number of miles Ter

i ran

1 answer:

Vinil7 [7]2 years ago

5 0

Do 8 divided by 1.6. that will give you the number of miles. this would be 5 miles

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Mr. Grey is planning to fly an airplane from Smithville straight to Sandia. The distance from Smithville to Sandia is 1.5 inches

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running back the new York city police officer who was arrested on a charge for allegedly carrying out a stolen vehicle was

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3 years ago

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.

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3 years ago

3. the answer isn't c or d

Kay [80]

Answer:

A. Yes; no vertical line passes through two graphed points

Step-by-step explanation:

3 0

2 years ago

Lorenzo built a rectangular brick patio he's putting a stone border around the edge of the patio the width of the patio it was 1

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Lorenzo needs 52ft of stone.

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2 years ago

Evaluate the expression. 5^2−4⋅6+11 Enter your answer in the box.

mart [117]

Explanation:

This question's it's about the order of operations. P-parenthesis, E-exponents, M-multiply, D-divide, A-add, and S-subtract. It can also go left to right.

Do exponents first.

$5^2=5*5=25$

$25-4*6+11$

Then, multiply left to right.

$4*6=24$

$25-24+11$

And add/subtract left to right.

$25-24=1$

$1+11=12$

$\boxed{=12}$

Hope this helps!

Thanks!

Have a great day!

6 0

2 years ago