1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
vladimir1956 [14]
3 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]3 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.

You might be interested in
Tanya has a garden with a trench around it. The garden is a rectangle with width 2 1/2 m and length 2 m. The trench and garden t
vichka [17]

Answer:

The area of a trench is 5.5 m² .

Step-by-step explanation:

Formula

Area of a rectangle = Length × Breadth

As given

Tanya has a garden with a trench around it.

The\ garden\ is\ a\ rectangle\ with\ width\ 2\frac{1}{2}\ m\ and\ length\ 2\ m.

i.e

The\ garden\ is\ a\ rectangle\ with\ width\ \frac{5}{2}\ m\ and\ length\ 2\ m.

Put in the above formula

Area\ of\ garden = \frac{5\times 2}{2}

                             = 5 m²

As given

The\ trench\ and\ garden\ together\ make\ a\ rectangle\ with\ width\ 3 \frac{1}{2}\ m\ and\ length\ 3 m.

i.e

The\ trench\ and\ garden\ together\ make\ a\ rectangle\ with\ width\ \frac{7}{2}\ m\ and\ length\ 3 m.

Area\ of\ garden\ with\ trench = \frac{7\times 3}{2}

Area\ of\ garden\ with\ trench = \frac{21}{2}

                                                  = 10.5 m²

Area of the trench = Area of garden with trench - Area of garden

Put the value in the above

Area of the trench = 10.5 m² - 5 m²

                               = 5.5 m ²

Therefore the area of a trench is 5.5 m² .


5 0
3 years ago
Read 2 more answers
Simplify-2(y+4) + 3y
Pie

Answer: y-8

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
A factory needs to produce 1,800 jars of peanut butter on a certain day.
finlep [7]

Answer:

d

Step-by-step explanation:

because in 2 they make 600 and 600 times 3 is 1,800 then do 2 times 3 witch is 6 so 6 hours after 10:30 is 3:30. I hope that makes sense <3

7 0
3 years ago
Which number sequence follows the rule multiply by 3, starting from 4?
mixas84 [53]
Answer

12, 36, 108, 324
3 0
3 years ago
The diagram shows the diffrence between my home h and two towns
katrin2010 [14]

Answer:

  • from home to town A :

V = D/t = 10 / 20 = 0.5 mile per min

  • from home to town B :

V = D/t = 20/30 = (2/3) mile per min

  • From town A to town B :

V = D/t = (10+20)/ 50 = (3/5) mile per min

6 0
3 years ago
Read 2 more answers
Other questions:
  • (SOMEONE PLEASE HELP ME ) A central angle in a circle has a measure of 1 radian. The length of the arc it intercepts is 3.07 in.
    12·2 answers
  • What are the solutions to log5(x + 5) = x2
    12·2 answers
  • What number needs to be eliminated to solve this equation? 3d = -81
    8·2 answers
  • Paul's car is 18 feet Long he is making a model of his car that is 1/8 the actual size what is the length of the model
    9·1 answer
  • Variable
    9·1 answer
  • Direction: True or False
    9·2 answers
  • HI CAN ANYONE PLS ANSWER DIS MATH PROBLEM!!!!!!!!!!!
    15·2 answers
  • What is the rate of change of the function?<br> -2<br> -1/2<br> 1/2<br> 2
    15·2 answers
  • {y=-3x+5<br> {y=-8x+25<br> i am so confused
    5·1 answer
  • 6. Find the corresponding angle. <br><br> options:
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!