# Tag: conditional probability

#### Solved (Free): Students in a high school can choose to study Spanish or French as a foreign language

Students in a high school can choose to study Spanish or French as a foreign language. In a given academic year, 90% of the pupils choose Spanish and the rest…

#### Solved (Free): The probability that first processing machine is not working properly at any time is 0.07

The probability that first processing machine is not working properly at any time is 0.07, and the probability that the second machine is not working properly at any time is…

#### Solved (Free): A study of drinking and driving has found that 40% of all fatal auto accidents are attributed to drunk drivers

A study of drinking and driving has found that 40% of all fatal auto accidents are attributed to drunk drivers, 2% of all auto accidents are fatal, and drunk drivers…

#### Solved (Free): A site is composed of 60% sand and 40% silt in separate layers and pockets. At this site

A site is composed of 60% sand and 40% silt in separate layers and pockets. At this site, 10% of sand samples and 5% of silt samples are contaminated with…

#### Solved (Free): It is estimated that, during the past year, 27% of all adults visited a therapist and 45% of all adults used non-prescription

It is estimated that, during the past year, 27% of all adults visited a therapist and 45% of all adults used non-prescription antidepressants. It is also estimated that 21% of…

#### Solved: The probability of surviving a certain transplant operation is 0.55. If a patient survives the operation, the probability that his

The probability of surviving a certain transplant operation is 0.55. If a patient survives the operation, the probability that his or her body will reject the transplant within a month…

#### Solved: A recent survey conducted by Towers Perrin and published in the Financial Times showed that among 460 organizations in 13 European countries

A recent survey conducted by Towers Perrin and published in the Financial Times showed that among 460 organizations in 13 European countries, 93% have bonus plans, 55% have cafeteria-style benefits,…

#### Solved: An electronic device is made up of two components A and B such that the device would work satisfactorily as long as at least one of the components works

An electronic device is made up of two components A and B such that the device would work satisfactorily as long as at least one of the components works. The…

#### Solved: A laboratory blood test is 98% effective in detecting a certain disease if the person has the disease (sensitivity). However, the test also yields a “false positive” result

A laboratory blood test is 98% effective in detecting a certain disease if the person has the disease (sensitivity). However, the test also yields a "false positive" result for 0.5%…

#### Solved: A telephone survey conducted by the Maritz Marketing Research company found that 43% of Americans expect to save more mo

A telephone survey conducted by the Maritz Marketing Research company found that 43% of Americans expect to save more money next year than they saved last year. Forty-five percent of…