Afemale blue manakin must decide whether to mate with a male or reject him. to make her decision, she will assess the quality of a coordinated dance that the male performs with his male dancing team; healthy males perform well-coordinated dances and unhealthy males perform uncoordinated dances. the female begins with the prior estimate that males in this population have a 41% chance of being healthy; the rest are unhealthy. when males are healthy, they give a wellcoordinated dance 71% of the time; when males are unhealthy, they give a well-coordinated dance 19% of the time; and the rest of the time they give an uncoordinated dance. a. create a coding matrix for the dance signals below. b. assuming that the female is a bayesian updater, how does her estimate of the probability that the male is healthy change after she observes one uncoordinated dance? c. shortly after that, the same male performs an well-coordinated dance; how does this then change the female's estimate of the probability that the male is healthy? d. how much information in bits is transmitted by the first signal? e. how much information in bits is transmitted by the second signal? f. how much further information in bits is needed to remove all remaining uncertainty about whether he's healthy