Orville, the robot juggler, drops balls quite often when its battery is low. In previous tests, it has been determined that the probability that it will drop a ball when its battery is low is 0.9. Whereas when its battery is not low, the probability that it drops a ball is only 0.01. The battery was recharged not long ago, and our best guess (before looking at Orville's latest juggling record) is that the probability that the battery is low is 0.1. A robot observer with a somewhat unreliable vision system reports that Orville dropped a ball. The reliability of the observer is given by the following probabilities:
P(observer says that Orville drops | Orville does drop) = 0.9
P(observer says that Orville drops | Orville doesn't drop) = 0.2
The Bayesian network for modeling this problem is as follows:
Battery is Low (L)
Orville drops ball (D)
Observe ball dropped (O)
A. The probability P(O = false | D = true), that is, the conditional probability of not observing a ball dropped given Orville drops a ball, is %.
B. The probability P(L = true, O = true), that is, the joint probability that the battery is low and observing a ball dropped is %.
C. The probability P(O = true), that is, the probability of observing a ball dropped is %.
D. The probability P(L = true | O = true), that is, the probability the battery is low given that the observer reports a ball dropped, is %.
(NOTE: The percentage sign is already provided. If the number you want to enter is a decimal number, keep only 2 digits after the decimal point. Do not use round up/down whenever necessary. For example, if the number you want to enter is 64.35832, enter 64.36)