The Feldmans bought their first house for $19,000. Over the years they moved three times into bigger and bigger houses. Now, 43 years later, they are ready to retire and want a smaller house like the first one they bought. If inflation in property values has averaged 3.5% per year during that time, how much will such a house cost them now? (Round your answer to the nearest dollar.)

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?