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 %3D Not C total 346 96 442 210 212 442 N 44 92 136 total 600 400 1000 1. Calculate the probability that a student's confidence level is "sure" given that the response is correct. 2. Calculate the probability that a student's confidence level is "no clue" given that the response is

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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"
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
Not C
total
346
96
442
L
210
212
442
N
44
92
136
total
600
400
1000
1. Calculate the probability that a student's confidence level is "sure" given that the response is
correct.
2. Calculate the probability that a student's confidence level is "no clue" given that the response
is
incorrect.
3. Calculate the probability that the student's response is correct.
4. Calculate the probability that the student's response is correct or his confidence level is
"feeling
lucky"
5. Calculate the probability that the student's response is incorrect and his confidence level is
"sure".
Transcribed Image Text: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" 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 Not C total 346 96 442 L 210 212 442 N 44 92 136 total 600 400 1000 1. Calculate the probability that a student's confidence level is "sure" given that the response is correct. 2. Calculate the probability that a student's confidence level is "no clue" given that the response is incorrect. 3. Calculate the probability that the student's response is correct. 4. Calculate the probability that the student's response is correct or his confidence level is "feeling lucky" 5. Calculate the probability that the student's response is incorrect and his confidence level is "sure".
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