Question

A college administration has conducted a study of 200 randomly selected students to determine the relationship between satisfac-tion with academic advisement and academic success. they obtained the following information: of the 70 students on academic probation, 32 are not satisfied with advisement; how-ever, only 20 of the students not on academic probation are dissat-isfied with is the probability that the student is not on academic probation and is satisfied with advisement?

Answer 1

The probability that a student is not on academic probation and is satisfied with advisement is calculated by finding how many students are not on probation and satisfied and dividing that by the total number of students. This probability is 0.55, or 55%.

Step-by-step explanation:

The question asks for the probability that a student is not on academic probation and is satisfied with advisement. To calculate this, we need to subtract the number of students who are on probation and dissatisfied, and those not on probation but dissatisfied, from the total number of students. From the given information, we know there are 200 students total, 70 on probation, 32 of whom are dissatisfied, and 20 not on probation who are dissatisfied.

First, we find out how many students are not on probation:

• Total students = 200
• Students on probation = 70
• Students not on probation = 200 - 70 = 130

Next, we determine how many students are both not on probation and satisfied:

• Students not on probation and dissatisfied = 20
• Students not on probation and satisfied = 130 - 20 = 110

Now, to find the probability that a student is not on probation and is satisfied, divide the number of such students by the total number of students:

Probability = Number of students not on probation and satisfied / Total number of students

Probability = 110 / 200 = 0.55

The probability that a student is not on academic probation and is satisfied with advisement is 0.55, or 55%.