In a city, 20% of population is under 25 years of age. Three people are chosen at random from the city. Choosing one person is trial. Let success correspond to selecting the person that is under 25 years of age.
A) Determine the probability, p, of success for each trial?
B) Is the value of p same for each trial? Discuss why.
C) Determine the number of trials for this binomial distribution?
D) Let random variable x = number of successes. List the possible values of x
E) What is the probability of "failure" for each trial?
F) Find the probability of no successes in the sample of 3 people.
G) Find the probability of at least one success in the sample of 3 people.