75000 people are called in a study that is conducted about solar power. Of there 75000, 45000 are fully onboard with the solar power, but the rest of the people (30000) are not.

X describes the number of negative responses to solar power within 15 calls.

1. Which distribution is best suited to describe X? and why?
2. Determine the probability mass function (f) of X
3. Determine the expected value of X E[X]
4. Determine the variance var[X]