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
Masja [62]
3 years ago
10

The director of student health decides to test every student on campus for tuberculosis. If there are 3000 students out of which

only 50 have tuberculosis and the probability of a false positive on the test is 0.008 and a false negative is 0.15, what is the probability that a person who tested positive actually has TB?
Mathematics
1 answer:
harina [27]3 years ago
3 0

Answer: the probability that a person who tested positive actually has TB is 0.64

Step-by-step explanation:

lets say

T : has tuberculosis

+ : test results +ve

- : test result is -ve

so given that

P(+ITc) = 0.008

P(-ITc) = 0.15

P(T) = 50/3000 = 1/60

P(Tc) = 1 - P(T) = 1 - 1/60 = 59/60

Now required probability

= P(TI+)

P(T∩+) / P(+)

=  P(T) × P(+IT) / [[P(T) × P(+IT)] + [(P(Tc) × P(+ITc)]

=  P(T) × {1-P(-IT)] / [[P(T) × [1-P(-IT)] + [(P(Tc) × P(+ITc)]

WE SUBSTITUTE

=  { 1/60 × (1-0.15) } /  [1/60 × (1 - 0.15)] + [(59/60) × 0.008]

= (0.0167 × 0.85) /  [(0.0167 × 0.85) + (0.9833 × 0.008)]

= 0.01417 / 0.02206

= 0.6423 ≈ 0.64

∴ the probability that a person who tested positive actually has TB is 0.64

You might be interested in
What is the solution
lozanna [386]

Answer:

1+1=a a=solution

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Write a linear function from the table.
3241004551 [841]

Answer:

It would be A.

Step-by-step explanation:

Because, 5 x 0 is 0, 5 x 1 is 5, 5 x 2 is 10, and so on. Its really just counting in 10s.

3 0
2 years ago
 and  are similar. Find the value of x. A. 5 B. 15 C. 60 D. 240
vitfil [10]
I need the paragraph bro bro
5 0
3 years ago
Read 2 more answers
What is the rule for reflecting over y=x+c
asambeis [7]

Step-by-step explanation:

When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed). the line y = x is the point (y, x).

8 0
3 years ago
Hello! is y = 3x - 3 proportional or non-proportional?? please help!
MissTica

A proportional graph is a straight line that goes through the origin while a non-proportional graph is a straight line that doesn't go through the origin.

y = mx + b

the b represents the y-intercept, so -3 is the y-intercept in the equation y = 3x -3

therefore, the line doesn't go through the origin and is a non-proportional equation

6 0
2 years ago
Other questions:
  • The school production of Our Town' was a big success. For opening night. 434 tickets were sold. Students paid $4.00 each, while
    8·1 answer
  • Write the equation of the line that is parallel to y = -2x - 9 and passes through the point (-2,-4).
    13·1 answer
  • The average height of men in 1960 was found to be 68 inches (5 feet, 8 inches). A researcher claims that men today are taller th
    15·1 answer
  • What is the volume of soup that will fit in a cylindrical-shaped can with a height that is 2 inches longer than the radius?
    11·2 answers
  • describe how you can tell by lookin at a graph of a function which variable is the input variable and which is the output variab
    15·1 answer
  • Help me with this question
    15·1 answer
  • For a transformation of f (x) to g (x) to be wider y = a (x ± c) ± d what letter in the equation causes this effect and how? pls
    6·1 answer
  • Help me out please ;v;
    5·1 answer
  • A scuba diver is descending at an average rate of 44.5 feet per minute.
    7·1 answer
  • -3t + 9 greater than or equal to-21
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!