A January 2008 Gallup poll on consumer confidence asked the question "How would you rate economic conditions in this country today" and 22% responded "Excellent" or "Good", 45% responded "Only Fair", and 33% responded "Poor". If you pick a representative sample of 25 people and ask them the same question, if X measures the number of responses that are "Excellent" or "Good", determine
- P(X is at most 5).
- P(X is at least 5).
- the expected number of Excellent or Good responses.