Below are three polls showing favor for candidate a in the most recent election. compare the polls and state which one shows the greatest favor for candidate a. show your work or provide an explanation.
poll 1: 5 out of every 12 people are expected to vote for candidate a.
poll 2: 45% of people are expected to vote for candidate a.
poll 3: there are 25,000 people expected to vote and 12,000 are expected to vote for candidate a.

In a test for esp (extrasensory perception), a subject is told that cards only the experimenter can see contain either a star, a circle, a wave, or a square. as the experimenter looks at each of 20 cards in turn, the subject names the shape on the card. a subject who is just guessing has probability 0.25 of guessing correctly on each card. a. the count of correct guesses in 20 cards has a binomial distribution. what are n and p? b. what is the mean number of correct guesses in 20 cards for subjects who are just guessing? c. what is the probability of exactly 5 correct guesses in 20 cards if a subject is just guessing?