1) What is the difference between a discrete random variable and a continuous random variable? Provide an original example of each type of variable

1) What is the difference between a discrete random variable and a continuous random variable? Provide an original example of each type of variable.

2) What makes the binomial distribution unique from other types of distributions?  What are its characteristics? Provide a real-world example of a distribution of data that would be considered binomial.

3) Solve the following problem: 

About 30% of adults in United States have a college degree. Thus, the probability that a person has a college degree is p = 0.30. If N adults are randomly selected, find probabilities that

a) exactly x out of selected N adults have a college degree,

b) less than x out of selected N adults have a college degree, and

c) greater than x out of selected N adults have college degree.

Choose your numbers for N and x. These values for N and x must be original. They must be different than the values chosen by your classmates.