EXERCISE 14: In an experiment involving smoke detectors, an alarm was set off at a college dormitory at 3 a.m. Out of 216 residents of the dormitory, 128 slept through the alarm. If one of the residents is ran- domly chosen, what is the probability that this person did not sleep through the alarm? EXERCISE 15: Find the errors in each of the following statements: 1. The probability that it will rain tomorrow is 0.40, and the probability that it will not rain tomorrow is 0.52. 2. The probabilities that a printer will make 0, 1. 2. 3, or 4 or more mistakes in setting a document are, respectively, 0.19, 0.34,0.25, 0.43, and 0.29. 3. On a single draw from a deck of playing cards, the probability of selecting a heart is 1/4, the probability of selecting a black card is 1/2, and the probability of selecting both a heart, and a black card is 1/8