A college administration has conducted a study of 211 randomly selected students

Question

A college administration has conducted a study of 211 randomly selected students to determine the relationship between satisfaction with academic advisement and academic success. They obtained the following information: Of the 72 students on academic probation, 38 are not satisfied with advisement; however, only 17 of the students not on academic probation are dissatisfied with advisement. What is the probability that a student selected at random is not on academic probation and is satisfied with advisement?

Explanation / Answer

We need following probabilities:

P(person is on academic probation)=72/211

P(person is not on academic probation)=1-72/211=0.658

P(dissatisfied student on non academic probation)=17/(211-72)=0.122

P(satisfied student on non academic probation)=1-0.122= 0.878

Probability of getting a student not on probation and satisfied =0.878*0.658=0.5778

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