A diagnostic test has a probability 0.95 of giving a positive result when applied to a person suffering from a certain disease, and a probability 0.10 of giving a (false) positive when applied to a non-sufferer. It is estimated that 0.5 % of the population are sufferers. Suppose that the test is now administered to a person about whom we have no relevant information relating to the disease (apart from the fact that he/she comes from this population). Calculate the following probabilities:

a. that the test result will be positive
b. that, given a positive result, the person is a sufferer
c. that, given a negative result, the person is a non-sufferer
d. that the person will be misclassified

a) 0.10425

b) 0.00475

c) 0.04975

d) 0

Step-by-step explanation:

a) Pr (the test result will be positive) = (0.95 × ) + ( 0.10 × )

           = 0.00475 + 0.0995

           = 0.10425

b) Pr (positive result, the person is a sufferer) = 0.95 x

           = 0.00475

c) Pr (negative result, non sufferer) = (1-0.95) x

           = 0.04975

d) Pr ( person misclassified) = 0

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .