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SVETLANKA909090 [29]
3 years ago
5

The prostate-specific antigen (PSA) test is a simple blood test to screen for prostate cancer. It has been used in men over 50 a

s a routine part of a physical exam, with levels above 4 ng/mL indicating possible prostate cancer. The test result is not always correct, sometimes indicating prostate cancer when it is not present and often missing prostate cancer that is present. Suppose that these are the approximate conditional probabilities of a positive (above 4 ng/ml) and negative test result given cancer is present or absent. In a large study of prostate cancer screening, it was found that about 6.2% of the population has prostate cancer. Draw a tree diagram for selecting a person from this population (outcomes: cancer present or absent) and testing his blood (outcomes: test positive or negative).

Mathematics
1 answer:
nadezda [96]3 years ago
8 0

The missing table for the Test Result can be expressed as:

                              Test Result

                               Positive         Negative

Cancer Present        0.21              0.79

Cancer Absent        0.06              0.94

Answer:

Step-by-step explanation:

A tree diagram is an elegant way of determining an exhaustive list of sample elements in the sample space. It is by finding the ordered n-tuples of the elements in the events under consideration.

The tree diagram for selecting a person from the population in the given question can be found in the attached image below.

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Is 2/6 simplest form or not
s2008m [1.1K]
No, because you can simplify it even more if you divide by 2.
2/2=1
and 6/2=3

2/6 in simplest form is 1/3.
7 0
2 years ago
Lindsay prepared 9 containers of fruit punch for a party. After the party, there were still 4 4/9 containers of fruit punch left
umka2103 [35]

Turn 9 into \frac{81}{9}. Then, convert 4 \frac{4}{9} into a improper faction ( \frac{40}{9} ). Then, subtract

\frac{81}{9} - \frac{40}{9} = \frac{41}{9}. Lastly, convert  \frac{41}{9} to a mixed fraction ( 4\frac{4}{9} ).

Your answer is 4\frac{4}{9}.

6 0
2 years ago
List the integers within the interval <br><img src="https://tex.z-dn.net/?f=%20%208%20%5Cleqslant%20x%20%3C%2016" id="TexFormula
Vera_Pavlovna [14]

Answer:

list the integers within the interval

Step-by-step explanation:

Greater than or equal to 8, so 8 is part of this list.

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6 0
2 years ago
Read 2 more answers
Evaluate each of the following expressions for x = 16 and y = 4.
Contact [7]
Not to good with math but the answer may be B
6 0
3 years ago
The table shows the results of an experiment in which subjects taking either a drug or a placebo either reported fatigue or did
Lady bird [3.3K]

Answer:

Therefore, the correct options are;

-P(fatigue) = 0.44

P(fatigue \left |  \right drug) = 0.533

--P(drug and fatigue) = 0.32

P(drug)·P(fatigue) = 0.264

Step-by-step explanation:

Here we have that for dependent events,

P(A \, and \, B)= P(A)\times  P(B\left |  \right A )

From the options, we have;

P(fatigue \left |  \right drug) = 0.533

P(drug) = 0.6

P(drug and fatigue) = 0.32

Therefore

P(drug and fatigue) = P(drug)×P(fatigue \left |  \right drug)  

= 0.6 × 0.533 = 0.3198 ≈ 0.32 = P(drug and fatigue)

Therefore, the correct options are;

-P(fatigue) = 0.44

P(fatigue \left |  \right drug) = 0.533

--P(drug and fatigue) = 0.32

P(drug)·P(fatigue) = 0.264

Since P(fatigue) = 0.44 ∴ P(drug) = 0.264/0.44 = 0.6.

4 0
2 years ago
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