The industrial statistics class consists of 50 dcit students and 40 engineering students. the probability of a student failing from dcit and engineering are, 0.10 and 0.01 respectively. one of the students failed the course. what is the probability that it is a student from dcit. [10

0.9259

Step-by-step explanation:

Given : The Industrial Statistics class consists of 50 DCIT students and 40 Engineering students.

Total students = 50+40=90

Probability of selecting a DCIT student=

Probability of selecting a Engineering student=

Also, The probability of a student failing from DCIT and Engineering are, P(D|F)=0.10 and P(E|F)=0.01 respectively.

Now,  One of the students failed the course. Then by Bayes theorem, the probability that it is a student from DCIT will be :-

Hence, the probability that it is a student from DCIT = 0.9259