1. In the exercise, X is a binomial variable with n = 8 and p = 0.3. Compute the given probability. Check your answer using technology. HINT [See Example 2.] (Round your answer to five decimal places.)

P(X = 3) =

2. The probability that a randomly selected teenager watched a rented video at least once during a week was 0.73. What is the probability that at least 4 teenagers in a group of 6 watched a rented movie at least once last week? (Round your answer to four decimal places.) P(X 4) =

3. The probability that a randomly chosen citizen-entity of Cygnus is of pension age is approximately 0.3. What is the probability that, in a randomly selected sample of five citizen-entities, all of them are of pension age? HINT [See Example 2.] (Round your answer to four decimal places.)

P(X = 5)

=