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
soldier1979 [14.2K]
3 years ago
15

An athletic league does drug testing of its athletes, 10 percent of whom use drugs. This test, however, is only 95 percent relia

ble. That is, a drug user will test positive with probability 0.95 and negative with probability 0.05, and a nonuser will test negative with probability 0.95 and positive with probability 0.05. Develop a probability tree diagram to determine the posterior probability of each of the following outcomes of testing an athlete.
(a) The athlete is a drug user, given that the test is positive.

(b) The athlete is not a drug user, given that the test is positive.

(c) The athlete is a drug user, given that the test is negative.

(d) The athlete is not a drug user, given that the test is negative.

(e) Use the corresponding Excel template to check your answers in the preceding parts.

Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
4 0

Answer:

0.6786

0.3214

1 / 172

171 / 172

Step-by-step explanation:

Note: The tree diagram is attached below.

a) The athlete is a drug user, given that the test is positive P(D/+)

Using conditional Probability:

P ( D / + ) = P ( D and + ) / P ( +)

= (0.1 * 0.95) / (0.1 * 0.95 + 0.9*0.05)

= 0.6786

Answer: P ( D / + ) = 0.6786

b) The athlete is not a drug user, given that the test is positive P(D' / + )

Using conditional Probability:

P ( D' / + ) = P ( D' and + ) / P (+)

= (0.9 * 0.05) / (0.1 * 0.95 + 0.9*0.05)

= 0.3214

Answer: P ( D' / + ) = 0.3214

c) The athlete is a drug user, given that the test is negative P (D / - )

Using conditional Probability:

P ( D / - ) = P ( D and - ) / P (-)

= (0.1 * 0.05) / (0.9 * 0.95 + 0.1*0.05)

= 1 / 172

Answer: P ( D / - ) = 1 / 172

(d) The athlete is not a drug user, given that the test is negative P (D' / - )

Using conditional Probability:

P ( D' / - ) = P ( D' and - ) / P (-)

= (0.9 * 0.95) / (0.9 * 0.95 + 0.1*0.05)

= 171 / 172

Answer: P ( D / - ) = 171 / 172

You might be interested in
5. Solve for x.
exis [7]

Answer:

12*56-56+11=12

Step-by-step explanation:

12 for 56

4 0
3 years ago
Jerry has an insurance policy with a premium of $150 per month. in june, he's in an accident and receives a bill with a
EastWind [94]

Answer:

he will have to pay $650 in the month of june

3 0
2 years ago
(X^3+3x^2-x+8)/(x-1)
ki77a [65]
Here is all of the work:

8 0
3 years ago
Help pLLEAAASSEE LOLOLOL
guajiro [1.7K]

Answer:

the answer is c, hope this helps

5 0
3 years ago
Use point-slope form to write the equation of the line in slope-intercept form.
dimulka [17.4K]

Answer:

y - 10 = -1 (x+4)

y = - x + 6

Step-by-step explanation:

y - 10 = - 1 (x - - 4)

y - 10 = -x - 4

y = -x - 4 + 10

3 0
2 years ago
Other questions:
  • Alana biked 45 miles in 3 hours. How many miles did she bike per hour?
    9·1 answer
  • Which fraction is greater 4/6 or 5/100
    8·1 answer
  • Write the formula for absolute value function if its graph has the vertex at point (0,6) and passes through the point (−1,−2).
    11·1 answer
  • The length and width of a rectangle are measured as 27 cm and 50 cm, respectively, with an error in measurement of at most 0.1 c
    5·1 answer
  • Plzzzzzzzzzzzzzzzzzzzzzz help me nowwwwwwwwwwwwwwwww
    6·1 answer
  • Frida applied the steps below to find the product of (–1.2)(–9.4). Step 1: (–1.2)(–9.4) = (–9.4)(–1.2) Step 2: = (–9.4)(–1) + (–
    10·3 answers
  • A local little league has a total of 90 players of whom 20% are left-handed. How many left-handed players are there? Please help
    12·1 answer
  • Find the equation of the linear function represented by the table below in slope-intercept form.
    8·1 answer
  • .A teacher has 70 markers inter drawer. She
    11·1 answer
  • 1. Given the picture below, which is the longest side?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!