Answer Happy

You are testing the quality of smart phone screens made by a manufacturer. The probability of breaking the screen from a certain height is unknown. The screens are of the same quality and there are three possible probabilities: high quality (0.3), medium quality (0.5), and low quality (0.7). They are equally likely at the beginning. You sampled three screens. The first did not break, but the other two broke. Which of the following statement(s) is (are) true? (A) The expected probability of breaking the fourth screen is about 0.55015. (B) The screens are most likely to be of medium quality. (C) If we drop the first screen again, the probability of breaking is 0.4467. (D) If we drop two screens at the same time now, the probability of both breaking is 0.3027. (E) None of the above.