The probability of a student cheating is 0.6, the probability of a student getti

Ballestin3a

Ballestin3a

Answered question

2021-11-17

The probability of a student cheating is 0.6, the probability of a student getting caught given that he/she has cheated is 0.3 and the probability of a student not getting caught given that he/she has cheated is 0.7. Lets

Answer & Explanation

barcelodurazo0q

barcelodurazo0q

Beginner2021-11-18Added 13 answers

(a)
Obtain the probability that student cheated given that the student got caught.
The probability that student cheated given that the student got caught is obtained below as follows:
From the information, given that
The probability of a student cheating is 0.6.
The probability of a student getting caught given that he/she has cheated is 0.3.
The probability of a student not getting caught given that he/she has cheated is 0.7.
The required probability is,
P(cheatedcaught)=P(Cheated)×P(Caughtcheated)[P(Cheated)×P(Caughtcheated)]+P(Not Cheated)×P(CaughtNot cheated)
=(0.6)×(0.3)[(0.6)×(0.3)]+[(10.6)×(10.3)]
=0.180.18+0.28
=0.180.46
=0.3913
Thus, the probability that student cheated given that the student got caught is 0.3913.

Charles Wee

Charles Wee

Beginner2021-11-19Added 14 answers

(b)
Obtain the probability that student didn’t cheated given that the student got caught.
The probability that student didnt

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