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vladimir1956 [14]
2 years ago
9

The test to detect the presence of respiratory syncytial virus is 97% accurate for a person who has the virus and 99% accurate f

or a person who does not have the virus. In a given population, 0.55% of the people are infected.
The probability that a randomly chosen person gets an incorrect result is
.
Mathematics
1 answer:
Setler79 [48]2 years ago
5 0

Answer:

The probability that a randomly selected person gets incorrect result is 2.2 × 10⁻⁴

Step-by-step explanation:

The parameters given are;

The accuracy of the test for a person who has the respiratory synctial virus = 97%

The accuracy of the test for a person who does not have the respiratory synctial virus = 99%

We have;

a = TP =

b = FP

c = FN

d = TN

a/(a + c) = 0.97

d/(d + b) = 0.99

a/(a + b) = 0.97*0.0055/(0.97*0.0055 + (1 - 0.99)*(1-0.0055))

PPV = 0.349 = 34.9%

Therefore, we have;

a/(a + c) = 0.97 and

a/(a + b)  =  0.349

0.97(a + c) =0.349(a + b)

(0.97 - 0.349)a = 0.349·b - 0.97·c

a = (0.349·b - 0.97·c)0.621

b × (1 - 0.0055) = (1 - 0.97)×(1 - 0.0055)

b = 1 - 0.97 = 0.03

Similarly,

c = 1 - 0.99 = 0.01

The proportion of the population that have false positive and false negative = 0.03 + 0.01 = 0.04 = 4%

The probability that a randomly selected person gets incorrect result = 0.04×0.0055 = 0.00022.

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We will solve this by suing simultaneous equations,

⇒ 5s + 3j = 87

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⇒ (5s + 3j = 87) × 4

    (4s + 2j = 64) × 5

∴ ⇒ 20s + 12j = 348

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Subtract both the equations. This is how your result (after subtraction) should look like,

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∴ ⇒ j = $14

Now replace the value of 'j' in one of the original equations,

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∴ ⇒ s = $9

Therefore, one pair of jeans cost $14 and a shirt costs $9

Hope you understood! Feel free to ask me if you didn't understand a step.

5 0
2 years ago
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KATRIN_1 [288]
1 1/4 cups of flour was used
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Step-by-step explanation:

Since we have given that

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c) How many seating arrangements are there that put Larry, Moe, Curly, and Shemp in the front seats?

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3 years ago
A rectangular football field is 64 meters wide and 100 maters long. A player runs from one corner of the field in a diagonal lin
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Answer:

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Step-by-step explanation:

We should use the Pythagorean Theorem to solve this problem.

a^2+ b^2=c^2

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4096+10000=14096

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Answer:

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First we find the length of AC with ABC. AC is the hypotenuse of triangle ABC.

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Now, AD is the hypotenuse of ACD. So AD = sqrt(25^2+10^2) = sqrt(725) = 26.925824 which is about 26.9 inches.

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