Probability based on binomial distribution.
1 Suppose that P(E) = 0.76, P(F) = 0.45, and P(E and F) = 0.32. What is P (E or F)?
2 Suppose that events E and F are independent. In addition, P(E) = 0.45 and P(F) = 0.2. what is P(E and F)?
3 Suppose that P(E) = 0.59 and P(F\E) = 0.45 What is P(E and F)?
4 Given the same values n=20, p=0.6, and x=17, compute the probability of x successes in the n independent trials of the experiment.