the pattern below followers the rule "starting with a value of 4, every consecutive row has a value that is two less than twice the value of the previous row

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?

Find the value of x in each case. give reasons to justify your solutions! d q ∈ pr

Either enter an exact answer in terms of \piπ or use 3.143.14 for \piπ and enter your answer as a decimal.