Are people more confident in their answers when the answer is actually correct than when it is not? A study was done on medical students’ confidence and the accuracy of their responses. Participants categorized their confidence levels using either “sure”, “feeling lucky” or “no clue”. Define the following events C = event that a response is correct S = event that confidence level is “sure” L = event that confidence level is “feeling lucky” N = event that confidence level is “no clue” Page 3 of 3 1. Data was collected and results were as follows P(S) = 0.442 P(L) = 0.422 P(N) = 0.136 P(C | S) = 0.783 P(C | L) = 0.498 P(C | N) = 0.320 Use the given probabilities to construct a hypothetical 1000 table with rows corresponding to confidence level and columns corresponding to whether the response was correct or not. 2. Are events “correct” and “no clue” mutually exclusive? Justify your answer. 3. Are events “feeling lucky” and “incorrect” independent? Justify your answer. 4.Calculate the probability that the student’s response is incorrect and his confidence level is “sure”.
Are people more confident in their answers when the answer is actually correct than when it is not? A
study was done on medical students’ confidence and the accuracy of their responses. Participants
categorized their confidence levels using either “sure”, “feeling lucky” or “no clue”.
Define the following events
C =
S = event that confidence level is “sure”
L = event that confidence level is “feeling lucky”
N = event that confidence level is “no clue”
Page 3 of 3
1. Data was collected and results were as follows
P(S) = 0.442 P(L) = 0.422 P(N) = 0.136
P(C | S) = 0.783 P(C | L) = 0.498 P(C | N) = 0.320
Use the given probabilities to construct a hypothetical 1000 table with rows corresponding to
confidence level and columns corresponding to whether the response was correct or not.
2. Are events “correct” and “no clue” mutually exclusive? Justify your answer.
3. Are events “feeling lucky” and “incorrect” independent? Justify your answer.
4.Calculate the
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