[4 pts] 2. Moira observes that two things influence whether her dog Nero will bark at...

Transcribed Image Text:

[4 pts] 2. Moira observes that two things influence whether her dog Nero will bark at another dog passing them as they walk along their favorite path: whether Moira holds Nero's lead in her right hand and whether Moira has a tight grip on Nero's lead. During any given walk along their favorite path, Moira holds Nero's lead in her right hand with probability 0.3. If Moira is holding Nero's lead in her right hand, she also has a tight grip on Nero's lead with probability 0.4, but if she doesn't hold Nero's lead in her right hand, she has a tight grip on Nero's lead with only probability 0.2. Find the probability that Moira is holding Nero's lead in her right hand given that she has a tight grip on Nero's lead. Round/report the requested probability as a decimal reported with at least four digits after the decimal point. Justify your answer clearly and completely with easy-to-follow steps. If you use a letter to represent an event or outcome, use a complete English sentence to describe what it represents in this scenario. How do you want it, the crystal ball mumbo-jumbo or statistical probability? I CAN GIVE YOU MY 93.4% ASSURANCE THAT THERE IS LESS THAN A 65.6% POSSIBILITY THAT THIS EXCERCISE WILL SIMPLY GENERATE 34.8% MORE MEANINGLESS STATISTICS [4 pts] 2. Moira observes that two things influence whether her dog Nero will bark at another dog passing them as they walk along their favorite path: whether Moira holds Nero's lead in her right hand and whether Moira has a tight grip on Nero's lead. During any given walk along their favorite path, Moira holds Nero's lead in her right hand with probability 0.3. If Moira is holding Nero's lead in her right hand, she also has a tight grip on Nero's lead with probability 0.4, but if she doesn't hold Nero's lead in her right hand, she has a tight grip on Nero's lead with only probability 0.2. Find the probability that Moira is holding Nero's lead in her right hand given that she has a tight grip on Nero's lead. Round/report the requested probability as a decimal reported with at least four digits after the decimal point. Justify your answer clearly and completely with easy-to-follow steps. If you use a letter to represent an event or outcome, use a complete English sentence to describe what it represents in this scenario. How do you want it, the crystal ball mumbo-jumbo or statistical probability? I CAN GIVE YOU MY 93.4% ASSURANCE THAT THERE IS LESS THAN A 65.6% POSSIBILITY THAT THIS EXCERCISE WILL SIMPLY GENERATE 34.8% MORE MEANINGLESS STATISTICS