4) An engineer tests an electronic circuit on a manufacturing line to determine if it is sound, has a short circuit fault, or has an open circuit fault. The engineer knows that the open circuit fault is twice as likely as the short circuit fault and must determine the probability of the latter using data collected from 100 circuits. The data had 95 sound circuits, 2 with an open circuit fault and 3 with a short circuit fault and it is known that the probability of a short circuit fault is either 0.02 or 0.1. Determine the more likely of the two probability values. (Hint: Use a trinomial pmf).4) An engineer tests an electronic circuit on a manufacturing line to determine if it is sound, has a short circuit fault, or has an open circuit fault. The engineer knows that the open circuit fault is twice as likely as the short circuit fault and must determine the probability of the latter using data collected from 100 circuits. The data had 95 sound circuits, 2 with an open circuit fault and 3 with a short circuit fault and it is known that the probability of a short circuit fault is either 0.02 or 0.1. Determine the more likely of the two probability values. (Hint: Use a trinomial pmf)