Hello. I am unsure how to solve questions who require tables using n=4. Since I only know how to use tables n=5 to n=25, I was wondering if you can help me explain how to solve problems with n=4?

Example:

A student majoring in accounting is trying to decide on the number of firms to which he should apply. Given his work experience and grades, he can expect to receive a job offer from 70% of the firms to which he applies. The student decides to apply to only four firms. Determine the probability distribution. That is calculate the probability for each of the values 0, 1, 2, 3, and 4.

In this question, I know n=4 and p=0.7. I believe I need to solve for P(X=0)... to P(X=4) since there's no indicators that need < or >. That's about all I understand.

In a recent survey the Pew Research Center asked graduates of private universities whether they were satisfied with their current job and 72% said they were. Suppose you take a sample of four private university graduates and ask each whether they are satisfied with their current jobs.

1. What is the probability that all four say they are satisfied?
2. What is the probability that two say they are satisfied?
3. Determine the expected number of people who are satisfied.

I understand n=4 and p=0.72. I think it's talking about using <\> signs from question 1-2. I am unsure what is expected number is, but I believe that is the mean's formula E(x).

Another question is a little different than the first but similar. If I have a n=5 and p=0.27, how do I solve using a table. There is no 0.27 on there. I tried using the closest values to 0.27: 0.25 and 0.3 but I was told I am wrong. I was wondering if I had a question like:

According to a Gallup poll 27% of American adults have confidence in bank. Suppose that you interview 5 American adults at random.

1. What is the probability that 2 or fewer have confidence in bank?
2. What is the probability that no one had confidence in banks?
3. What is the probability that 3 or more have confidence in banks?

How would I be able to solve it. Do I need to reverse look up it on the chart?