9) which of the following statements are true? There may be more than one. (a) If event E is mutually exclusive, HE) = t). (b) It events A and B are mutually exclusive, then when A occurs, P03) = 0. (c) [f the events A and B are dependent, the occmrenoe of A will affect the probability of B. ID) The "Elite Alarm Clock Radio" has a 6% defective rate (a defective alarm clock will not generate a wake-up sound). Alter some research, you decide this is the alarm clock for you. In order to ensure that you wake up on time on those important mornings, you purchase three (3) Elite Alarm Clock Radios. Early tomorrow morning. you have an important job interview, so you set all three alarm clocks for the same time, knowing that you will wake up on time if at least one alarm clock works. Assume there is no power outage. a) What is the probability (to four decimal places) that you wake up on time for your interview? b) By how much has your probability of waking up on time improved by using three alarm clocks instead of just one? Q} What is the probability that two of the three alarm clocks work