Jim loves to play roulettel He bets $10 on a single number, usually the number 13. He has 1/38 of winningIf the ball lands on his number, he wins $350 (and gets to keep his $10 bet !). If it lands on any other number , a 37/38 probability , he loses his bet. What is the expected value of a game of roulette?

Element x decays radioactively with a half life of 8 minutes. if there are 450 grams of element x, how long, to the nearest tenth of a minute, would it take the element to decay to 37 grams?

What is the slope of the line that contains the points (4,8) and (9,8)? what type of line is it?

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?