Week 3 Prsctice Worksheet es Mslings Review ViewHelp 7. The data represents the

Question

Week 3 Prsctice Worksheet es Mslings Review ViewHelp 7. The data represents the results for a test for a certairn disease. The Individual Actually Had the Disease Total H3R205 Yes No Tested 167 Positive Tested 19 176 195 Negative Total 186 214 400 f one person is randormly selected, find the probability (rounded to four decimal places) that the person: a. Actually had the disease d. Did not actualily have the disease or tested negative b. Tested negative Tested negative, given that the person had the disease e. c. Actualy had the disease and tested positive f. Did not have the disease, given that the person tested positive

Explanation / Answer

a) P(Actually had the disease) =186/400 = 0.465

b) P(tested negative ) = 195/400 =0.4875

c) P(Actually had the disease and tested positive) = 167/400 = 0.4175

d) P(did not actually have the disease or tested negative) = P(did not actually have the disease) + P(tested negative) - P(did not actually have the disease and tested negative)

=( 214+195-176)/400 = 233/400 = 0.5825

e) P(Tested negative|person had disease) = P(Person had diseases and tested negative)/ P(person had disease)

= 19/186 = 0.1022

f) P(did not have the disease| the person tested positive) = P(didnot have disease and tested positive)/ P(tested Positive)

= 38/205 = 0.1854

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