I need help, can you explain step by step

Problem 1: State whether the variable is discrete or continuous, and explain your reasoning - The height of a player on a basketball team

- The number of goals scored in a soccer game

- The speed of a car on a Los Angeles freeway during rush hour traffic

- The age of the oldest student in a statistics class

- The number of pills in a container of vitamins

Problem 2: Describe the specific characteristics of the distributions

a. What are the characteristics of the discrete probability distribution function?

b. What are the three characteristics of a binomial experiment?

c. What can you tell about outcomes of the continuous probability distribution? What are the graph and the area under the graph for this distribution? What is P (x = a)?

Problem 3: In a recent survey, 80% of the community favored building a police substation in their neighborhood If 15 citizens are chosen, what are the mean number and the standard deviation of the number favoring building a police substation?

If 15 citizens are chosen, what is the probability that 10 of them are favoring the substation?

If 15 citizens are chosen, what is the probability that at least 12 of them are favoring building a police substation?