The probability of drawing a heart from a standard deck of cards is 0.25. you record the car do you draw and return the car before shuffling to ensure a binomial distribution. if you do this 20 times, what is the probability that you will draw a heart seven times.

a) 0.888

b) 0.001

c) 0.112

d) 0.473

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?