During the 2015 baseball season, the Detroit Tigers' Miguel Cabrera hit for the elusive Triple Crown by having the highest batting average, most home runs, and most runs batted in. Most baseball players average four at-bats per game. Using Cabrera's batting average of 0.338, the probability that he would get no hits in one game would be 0.192, one hit would be 0.392, two hits would be 0.300, and three hits would be 0.102. Using the probability distribution table given, what is the probability that Miguel Cabrera gets a hit in all four at-bats? x 0 1 2 3 4
p(x) 0.192 0.392 0.300 0.102

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?