2. Overcondence Carter is deciding if she should purchase a new laptop. Her initial belief is that she will be happy with her purchase with probability .8 and unhappy with probability .2. Her friend lets her try the laptop so she can get a better idea. The probability she will have an enjoyable experience if she will be happy with her purchase is .8. The probability she will have an enjoyable experience if she will not be happy with her purchase is .4. (a) If Carter does not enjoy using the laptop, what is her updated belief that she will be happy with the purchase? [5 pts] Now suppose Carter has full conrmation bias and will misremember anything that goes against her initial belief that she will be happy with her purchase. (b) Carter is sophisticated about her bias. If Carter does not enjoy using the laptop, what is her updated belief that she will be happy with the purchase? (Hint: Think about how a signal that goes against somebodys initial belief is remembered when there is full conrmation bias.) [10 pts] 1 (C) Carter is naive about her bias. If Carter does not enjoy using the laptop, what is her updated belief that she will be happy with the purchase? (Hint: Think about how a signal that goes against somebodys initial belief is remembered when there is full conrmation bias.) [10 pts] ((1) Explain in 23 sentences why your ndings from (a), (b), and ((3) show conrma tion bias. [10 pts]