Answer:
Correct option: (a) 0.1452
Step-by-step explanation:
The new test designed for detecting TB is being analysed.
Denote the events as follows:
<em>D</em> = a person has the disease
<em>X</em> = the test is positive.
The information provided is:

Compute the probability that a person does not have the disease as follows:

The probability of a person not having the disease is 0.12.
Compute the probability that a randomly selected person is tested negative but does have the disease as follows:
![P(X^{c}\cap D)=P(X^{c}|D)P(D)\\=[1-P(X|D)]\times P(D)\\=[1-0.97]\times 0.88\\=0.03\times 0.88\\=0.0264](https://tex.z-dn.net/?f=P%28X%5E%7Bc%7D%5Ccap%20D%29%3DP%28X%5E%7Bc%7D%7CD%29P%28D%29%5C%5C%3D%5B1-P%28X%7CD%29%5D%5Ctimes%20P%28D%29%5C%5C%3D%5B1-0.97%5D%5Ctimes%200.88%5C%5C%3D0.03%5Ctimes%200.88%5C%5C%3D0.0264)
Compute the probability that a randomly selected person is tested negative but does not have the disease as follows:
![P(X^{c}\cap D^{c})=P(X^{c}|D^{c})P(D^{c})\\=[1-P(X|D)]\times{1- P(D)]\\=0.99\times 0.12\\=0.1188](https://tex.z-dn.net/?f=P%28X%5E%7Bc%7D%5Ccap%20D%5E%7Bc%7D%29%3DP%28X%5E%7Bc%7D%7CD%5E%7Bc%7D%29P%28D%5E%7Bc%7D%29%5C%5C%3D%5B1-P%28X%7CD%29%5D%5Ctimes%7B1-%20P%28D%29%5D%5C%5C%3D0.99%5Ctimes%200.12%5C%5C%3D0.1188)
Compute the probability that a randomly selected person is tested negative as follows:


Thus, the probability of the test indicating that the person does not have the disease is 0.1452.
<span>35 / 75 =
(5 * 7) / (3 *
52) =
((5 * 7) : 5) /
((3 * 52) : 5) =
(35 : 5)
/ (75 : 5) =
7 / 15</span>
Solution:
<u>Step-1: Find the data.</u>
- 70's: 1
- 80's: 1
- 90's: 2
- 100's: 3
- 110's: 4
- 120's: 4
- 130's: 2
- 140's: 1
Data obtained (Smallest to biggest):
- 70, 80, 90, 90, 100, 100, 100, 110, 110, 110, 110, 120, 120, 120, 120, 130, 130, 140
<u>Step-2: Count the number of digits.</u>
<u>Step-3: Use the formula "Total digits/2".</u>
The 9th digit in the data is the median.
<u>Step-4: Revise the data.</u>
- 70, 80, 90, 90, 100, 100, 100, 110, 110, 110, 110, 120, 120, 120, 120, 130, 130, 140
The median value of the line plot is 110.
Answer:
C
Step-by-step explanation:
in order to be a function, the x value cannot repeat itself. C is the only one where x value doesn't repeat.