HELLPPP PLS A sociologist studying living patterns in a certain region determines that, each year, the

populations shifts between, urban, suburban, and rural areas as showed in the transition

diagram.

(a) Set up a stochastic matrix that displays these transitions.

(b) What percentage of people who live in urban areas in 2017 will live in a rural area

in 2019?

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?