85 hospitals at a moment during the day gives a mean noise level of 46 db. assume that the standard deviation of noise level is really 10 db. part one. assuming that the average noise level of hospitals is what it's supposed to be, what is the probability of a sample of 85 hospitals producing an average as high as your sample (p-value)

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?