A blood test to detect prostate cancer in men gives a positive result 96% of the time if a person has prostate cancer, and it is
97% accurate for people who do not have the disease. What is the probability of getting a false positive result (that is, a person tests positive but does not actually have the ailment)?
a. 0.01
b. 0.03
c. 0.04
d. 0.07
e. 0.97
a. 0.01
b. 0.03
c. 0.04
d. 0.07
e. 0.97
2 answers:
Answer:
B. <em>0.03</em>
Step-by-step explanation:
A blood test to detect prostate cancer in men gives a positive result 96% of the time if a person has prostate cancer.
This means the test detects 96% times correctly that the person has cancer. In the remaining i.e 4% times it detects incorrectly, which means the person has not cancer but he is detected that he has cancer. This is the case of false negative.
It is 97% accurate for people who do not have the disease.
This means the test detects 97% times correctly that the person doesn't have cancer. In the remaining i.e 3% times it detects incorrectly, which means the person has cancer but he is not detected that he has cancer. This is the case of false positive.
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The speed of wind and plane are 105 kmph and 15 kmph respectively.
<u>Solution:</u>
Given, it takes 6 hours for a plane to travel 720 km with a tail wind and 8 hours to make the return trip with a head wind.
We have to find the air speed of the plane and speed of the wind.
Now, let the speed wind be "a" and speed of aeroplane be "b"
And, we know that, distance = speed x time.
Now at head wind →
So, solve (1) and (2) by addition
2a = 210
a = 105
substitute a value in (1) ⇒ 105 + b = 120
⇒ b = 120 – 105 ⇒ b = 15.
Here, relative speed of plane during tail wind is 120 kmph and during head wind is 90 kmph.
Hence, speed of wind and plane are 105 kmph and 15 kmph respectively.