Using various probability techniques answer the following questions for the variable in each the problems. (7, 8, 9, 10)

The probability that a randomly chosen citizen-entity of Cygnus is of pension aget is approximately 0.7. What is the probability that, in a randomly selected sample offcur citizen-entities, all of them are of pension age? HINT [See Example 2.] (Round your answer to four decimal places.) P(X=4) = Need Hem? In a large onthejob training program, half of the participants are female and half are male. In a random sample ofthree participants, what is the probability that an investigator will draw at least two males?T {Round your answer to four decimal places.) P(X22)= Need Help? _ The probability that a randomly selected teenager watched a rented video at least once during a week was 0.75. What is the probability that at least 5 teenagers in a group of T watched a rented movie at least once last week? (Round your answer to four decimal places.) PM 2 5) = Need Help? iii 51mm mm | WWW I Your manufacturing plant produces air bags, and it is known that 10% of them are defective. Five air bags are tested. (a) Find the probability that four of them are defective. (Round your answer to four decimal places.) P(X = 4) = (b) Find the probability that at least two ofthem are defective. (Round your answer to four decimal places.) P(X 2 2) =