Answer to Question #83192 in Statistics and Probability for ajjenix

Question

In a competitive examination. 30 candidates are to be selected. In all 600 candidates appear in a written test, and 100 will be called for the interview.
i) What is the probability that a person will be called for the interview?
ii) Determine the probability of a person getting selected if he has been called for the interview?
iii) Probability that person is called for the interview and is selected?
b) A medical survey was conducted in order to establish the proportion of the population which was infected with cancer. The results indicated that 40% of the population were suffering from the disease. A sample of 6 people was later taken and examined for the disease. Find the probability that the following outcomes were observed
i) Only one person had the disease
ii) Exactly two people had the disease
iii) At most two people had the disease
iv) At least two people had the disease
v) Three or four people had the disease