1: In the upcoming governor's election, the most recent poll based on 900 respondents predicts that the incumbent will be reelected with55 % of the votes. For the sake of argument, assume that 51% of actual voters in the state support the incumbent governor (p=0.51). calculate the probability of observing a sample proportion of voters 0.55 or higher supporting the incumbent governor.
2: according to hospital administrator, historical records over the past ten years have shown that 20 % of major surgery patients are dissatisfied with after-surgery care in the hospital. A scientific poll based on 400 hospital patients has just been conducted.
What is the probability that less than 64 patients will not be satisfied with the after surgery care.