Statistics assignment help question?

Posted on 2014-12-27 06:14:00 in Statistics by ERTIO

An alcohol diagnostic test can be used to test whether or not a driver is drunk. The test is not perfect: there is a 12% chance that a person who is drunk will falsely test negative, and a 15% chance that a person who is sober (not drunk) will falsely test positive. It is known, however, that the 8% of drivers are drunk at night.

a) Calculate the probability that a random driver is sober (not drunk) at night.

b) Calculate the probability that a random driver is drunk at night if the test has given the positive result.

c) Calculate the probability that a random driver is sober at night if the test has given the positive result.

d) Calculate the probability that a random driver is drunk at night if the test has given the negative result.

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