Suppose that 55 percent of the people in a population of 500,000 support your candidate. If you conduct a poll of 1,000 people, what is the interval that has a 95 percent chance of containing the results of your poll?
Suppose you have 60 red marbles and 40 blue marbles in a box. If you pick out 10 marbles without replacement, what is the probability of selecting 6 red marbles?
Can you show me step-by-step and solutions to these two problems?