Suppose that the above probabilities of detection are for any single satellite, but that the US in fact has four satellites surveying North Korea at any given time. Suppose that the probability of one satellite detecting a suspicious site is independent of the chances that any other satellite detects the site. (c) [4 points] What is the probability that a missile launch site is detected by at least one of the four different satellites? Suppose that you learn further information about the detection capabilities of early- warning radar: All suspicious flight patterns are caused by either missiles flights or geese; suspicious flight patterns are also either detected or not by early-warning radar. 40% of suspicious flight patterns that are detected by early-warning radar are caused by migrating geese. 75% of missile flights are detected by early-warning radar All suspicious flights that are caused by geese are detected. The chances that a launched missile is detected by early-warning radar is independent of the chance that the corresponding missile site is detected by the spy satellite. (d) [5 points] Based on this information, what fraction of suspicious flight patterns are caused by geese (i.e., P(Geese))