The incidence of a certain disease is such that on the average 20 % of Workers suffer from it. If 10 workers are selected at random, find the probability that (i) Exactly 2 workers suffer from the disease, (ii) not more than 2 workers suffer from the disease. (ii) Calculate the probability up to fourth decimal place.

The probability of a 25-year-old and another 35-year-old living together for 10 years is 0.6. What is the probability that a 30-year-old person will die within 15 years, if it is known that 4000 people out of 54000 at 25 years old will die before reaching the age of 30?

Kelly realized that 4% of his students' exams have academic integrity issues.  He plans to go through the exams at random to find one with academic integrity issues.  Let X be the number of exams Kelly selects until he finds one with academic integrity issues.   a) Find the probability that the 18 th exam Kelly selects will be the first with academic integrity issues. State your answer as a percentage rounded your answer to 2 decimal places. b) What is the probability of finding an exam with academic integrity issues within the first 5 exams? Round your answer to 3 decimal places.

Suppose 50% of the registered voters in a country are Republican if a sample of 598 voters is selected what is the probability that the simple proportion of republicans will be greater than 47% round your answer to 4 decimal places