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erica [24]
2 years ago
14

A screening test for a disease shows a positive result in 91% of all cases when the disease is actually present and in 7% of all

cases when it is not. Assume that the prevalence of the disease is 1 in 650. If the test is administered to a randomly chosen individual, what is the probability that the result is positive
Mathematics
1 answer:
Jobisdone [24]2 years ago
4 0

Answer:

0.0713 = 7.13% probability that the result is positive.

Step-by-step explanation:

Probability of a positive test:

91% of 1/650(has the disease).

7% of 1 - 1/650 = 649/650(does not have the disease). So

p = 0.91\frac{1}{650} + 0.07\frac{649}{650} = \frac{0.91 + 0.07*649}{650} = 0.0713

0.0713 = 7.13% probability that the result is positive.

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Ksenya-84 [330]

The random probability of event X, wheel stopping on a white slice is 0.9 while the probability of not X, wheel stopping on Grey slice is 0.1

  • Total numbers on wheel = total possible outcomes = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

  • Grey colored portion = {3}

  • White colored portion = {1, 2, 4, 5, 6, 7, 8, 9, 10}

  • X = Event that wheel stops on a white slice

  • P(X) = number of white slices ÷ total number of slices

  • P(X) = 9 / 10 = 0.9

  • P(not X) = 1 - P(X)

  • P(not X) = 1 - 0.9 = 0.1

Therefore, the probability that wheel stops on a white slice is 0.9 while, the probability that wheel does not stop on a white slice is 0.1

Learn more :brainly.com/question/18153040

4 0
3 years ago
The radius of a circle is 4 feet. What is the circle's area? Use 3.14 for ​.
Serga [27]

Answer:

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Step-by-step explanation:

If you're using 3.14 for π, and the area of a circle is A=πr2,

(3.14)(4)^2 =?

(3.14)(16) = 50.24

Therefore the answer would be about 50 square feet.  

3 0
3 years ago
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