After researching cysts of a particular type, a doctor learns ...

[wrbasek0]

After researching cysts of a particular type, a doctor learns that out of 10,000 such cysts examined, 1,500 are malignant and 8,500 are benign. A diagnostic test is available which is accurate 80 of the time (whether the cyst is malignant or not). The doctor has discovered the same type of cyst in a patient. What is the probability that the patient has a malignant cyst if he or she tests negative?

Question 2

Use the t-table to find the following probabilities.
 a. P(t8 > 2.306)
  b. P(t80 > 2.639)
  c. P(t24 > 1.711)
  d. P(t35 > 1.306)

[mcni194]

Answer to Question 1

P(M/-) = P(- and M) / P(-) = P(-/M)  P(M) / P(-) = (.20)(.15) / (.71) = .042

Answer to Question 2

a. 0.025
b. 0.005
c. 0.050
d. 0.100

[wrbasek0]

Thank you!

[mcni194]

Always glad to help...