A. The probability of getting a certain disease is 0.2. A certain test is availa

Question

A. The probability of getting a certain disease is 0.2. A certain test is available which returns a positive result 90% of the time for those with the disease, and a negative result 75% of the time for those without the disease. Compute Pr{Test positive}. (Hint: It may be helpful to draw a probability tree, and round to two decimal place)

B.The probability of getting a certain disease is 0.2. A certain test is available which returns a positive result 90% of the time for those with the disease, and a negative result 75% of the time for those without the disease. Compute Pr{Test negative}. (Hint: It may be helpful to draw a probability tree, and round to two decimal places)

C. The probability of getting a certain disease is 0.2. A certain test is available which returns a positive result 90% of the time for those with the disease, and a negative result 75% of the time for those without the disease. Compute Pr{Test positive | No disease}. (Hint: It may be helpful to draw a probability tree, and round to two decimal places)

A. The probability of getting a certain disease is 0.2. A certain test is available which returns a positive result 90% of the time for those with the disease, and a negative result 75% of the time for those without the disease. Compute Pr{Test positive}. (Hint: It may be helpful to draw a probability tree, and round to two decimal place)

B.The probability of getting a certain disease is 0.2. A certain test is available which returns a positive result 90% of the time for those with the disease, and a negative result 75% of the time for those without the disease. Compute Pr{Test negative}. (Hint: It may be helpful to draw a probability tree, and round to two decimal places)

C. The probability of getting a certain disease is 0.2. A certain test is available which returns a positive result 90% of the time for those with the disease, and a negative result 75% of the time for those without the disease. Compute Pr{Test positive | No disease}. (Hint: It may be helpful to draw a probability tree, and round to two decimal places)

Explanation / Answer

a) Pr{Test positive} =0.2*0.9+0.8*(1-0.75)=0.38

b)Pr{Test negative} =0.2*(1-0.9)+0.8*0.75=0.62

c) Pr{Test positive | No disease} =Pr(test positive & nodisease)/Pr(no disease) =(1-0.75)=0.25

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