It is known that 5% of the population over the age of 30 in a city is a university graduate. Among the 100 people chosen randomly; a) Possibility to be 5 university graduates b) What is the likelihood of never being a university graduate?

A) 1/3200000

B) 19/20

Step-by-step explanation:

Percentage population of graduates = 5

Proportion of graduates from 100 random samples = percentage * number of samples

Proportion of graduates = 0.05 * 100 = 5

Probability of having 5 graduates among the 100 random samples:

P (1 graduate) = possible outcome / total required outcome

P (1 graduate) = (5 / 100) = 1/20

P (5 graduates) = (1/20) ^5

P (5 graduates) = 1/3200000

Probability of never being a graduate = (1 - probability of being a graduate)

Probability of never being a graduate = (1 - (1/20)) = 19/20