The manufacturer is curious about the effect of the temperature on the strength of the seal. researchers seal 20 plastic bags at 220 degrees fahrenheit, 20 plastic bags at 240 degrees fahrenheit, 20 plastic bags at 260 degrees fahrenheit, 20 plastic bags at 280 degrees fahrenheit, and 20 plastic bags at 300 degrees fahrenheit. they then test the strength of the bags.

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?