1.) In the accompanying diagram of circle O, ADB and AEC are secants, chords BE and CD intersect at F, tangent GH intersects circle O at C, BD = 100°, DE = 70°, and EC = 80°. Find the following.
1. Angle of BAC
2. Angle of BDC
3. Angle of CFE
4. Angle of GCE
5. Angle of AEB

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?