The overhead reach distances of adult females are normally distributed with a mean of 200cm and a standard deviation of 8.3cm. Find the probability that an individual distance is greater than 212.50cm

Write an explicit formula that represents the sequence defined by the following recursive formula:

Express in the simplest form: (x^2+9x+14/x^2-49) / (3x+6/x^2+x-56)

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?