Predicting the weather using the binomial distribution to make weather-related predictions, and ultimately compare two locations.

New York State: In New York State, in April, the probability of snow happening on any given day is 30% (0.3). Knowing this, use the binomial distribution formula to determine the probability of it snowing on four (4) days during a given week (7 days).

Pennsylvania: In Pennsylvania, in April, the probability of snow happening on any given day is 10% (0.1). Knowing this, use the binomial distribution (and the resources mentioned above) to determine the probability of it snowing on four (4) days during a given week (7 days).

1. Present the values you assigned to the components of the equation [n, p, q, x, P(X)] *Remember: q = p - 1
2. Present the probability of snow on four days in a week for both locations.
3. Compare and contrast these probabilities.
4. Explain how this sort of prediction could be useful in everyday life.