Suppose that in a production of chemical storage containers, the fraction of defective containershas been constant at 2% over a long time and that this process is controlled every half hour by drawing and inspectingjust two of the products. Find the probabilities of getting (a) no defectives, (b) 1 defective, (c) 2 defectives. What is the sum of these probabilities

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?