There are 20 students in the group. 8 students have excellent preparation for th

Question

There are 20 students in the group. 8 students have excellent preparation for the exam, 6 have good level of knowledge, 4 have average level knowledge, and 2 are bad prepared. Probability that student pass the exam for excellently prepared student is 100%, if student have good level of a) Find probability that student from this group pass the exam. Student has passed the exam. Find probabilities that this student has b) excellent preparation c) good level of knowledge d) average level of knowledge e) bad preparation

Explanation / Answer

Answer to the question as below:

a. Answer is weighted sum of prob to pass and total students with the respective performance,

P(pass) = 1*8+.90*6+.60*4+.20*2 = 16.2 will pass. So 16 will pass ultimately

For each level of prep, no. of students out of total students is given. So,

b. P(Excellent prep) = 8/20

c. P( good level of knw) = 6/20

d. P( avg level) = 4/20

e. P( bad prep) = 2/20

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