8a) If we fail to reject Ho, then we feel certain that Ho is true. A True B False C There's no way to tell. D None of the above. 8b) More data reduces the probability of Type I error. A True B False C There's no way to tell. D None of the above. 8c) More data increases power. A True B False C There's no way to tell. D None of the above.

Use the Multiplication Property of Probabilities. If P(AB)=0.3 and P(BA)=0.6, find P(A).

(a) An experiment has two outcomes, "success" and "failure„" where the probability of success" is p. The experiment is performed n times. What of probability is with this experiment? (b) What is the probability that success occurs exactly r times? (c) An archer has probability 0.6 Of hitting the target. find the probability that she hits the target exactly 3 times in 5 attempts-

a What is meant by the conditional probability of E given F? How is this probability calculated? b What are independent events? c If E and F are independent events, what is the probability of E and F occurring? What if E and F are not independent? d A jar contains 3 white and 7 black balls. Let E be the event the first ball drawn is black and let F be the event the second ball drawn is black. i Find P(EF) if the balls are drawn with replacement. ii Find P(EF) if the balls are drawn without replacement.