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
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
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Contingency Table
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Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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Question

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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