In a city suppose 3% of the population is known to be affected by a particular disease. There is a test for the disease. Of there with the disease 98% test positive and of these without the disease 99.8% test positive. What would be the probability that an individual selected at random with a positive test result does not have the disease?

40% of the students in a class are girls. If 60% and 70% fo the boys and the girls respectively of the class pass a certain test, what is the probability that a randomly selected student from the class will have passed the test?

A laboratory blood test is 99% effective in detecting a certain disease when it is in fact, present. However, the test also yields a false positive result for 0.5% of the healthy person tested (i.e. if a healthy person is tested, then, with probability 0.005, the test will imply he has the disease). If 0.1 percent of the population actually has the disease, what is the probability that a person has the disease given that his test result is positive ?

The incidence of occupational desease in an industry is such that the workers have a 20% chance of suffering from it. What is the probability that out of six workers 4 or more will catch the disease?

Describe how the offspring affect if a marriage happens between the individuals where both husband and wife are affected with a x-linked disease or wife is normal but husband is affected with that x-linked disease. Judge what you think might be the. three reasons that. Mendel's success in the compression test.

The incidence of occupational disease is such that on the averatge 20% of workers suffer from it. If 10 wrkers are selected at random, find the probability that not more that 2 workers suffer from the disease.

The incidence of occupational disease is such that on the average 20% of workers suffer from it. If 10 workers are selected at random, find the probability that exactly 2 workers suffer from the disease.

(i) What does this diagrammatic sketch depict? (ii) Identify a' and 'b (iii) Name the widely used diagnostic test when a person gets this disease.

A hydrocarbon (X) discharges the colour of cold alkaline KMnO_4 solution and reacts with warm dilute sulphuric acid containing HgSO_4 to form another compound (Y). (Y) gives positive iodoform test but does not react with Tollens' reagent. (Y), when distilled with 80% H_2SO_4 , gives sym-trimethylbenzene. Identify the compounds (X) and (Y) and write the reactions involved with proper reasons.