SOLUTION: The probability that a student studies for examinations is .60. The probability of a student gets a good grade in examination is 0.70 and the probability that a student studies and

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Question 1167317: The probability that a student studies for examinations is .60. The probability of a student gets a good grade in examination is 0.70 and the probability that a student studies and gets a good grade is 0.52. Are the events “student studies” and “student gets a good grade “independent
Answer by ikleyn(52878) About Me  (Show Source):
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We are given


    P(a student studies for examinations) = 0.6,


    P(a student gets a good grade in examination) = 0.7,


    P(a student studies AND gets a good grade) = 0.52.



To answer the problem's question, we should check if the product of the first two values is the same as the third value.


But 0.6*0.7 = 0.42  is not equal to 0.52,  


THEREFORE, the events  “student studies”  and  “student gets a good grade “   ARE NOT independent.    ANSWER

Solved.