In a business class,15% of the students have never taken a statistics class,40% have taken only one semester of statistics,and the rest have taken two or more semesters of statistics.The professor randomly assigns students to groups of three to work on a project for the course.What is the probability that neither of your two group mates has studied statistics?
A)0.45
B)0.023
C)0.15
D)0.85
E)0.30

Question

Quizplus · Accepted Answer

The probability that a randomly chosen student has taken no statistics class is 0.15. Therefore, the probability that neither of the other two group members have taken a statistics class is:

0.15 x 0.15 = 0.0225

However, this is only the probability for one of the group members to have no statistics background. Since we don't care which group member has no statistics background, we need to multiply the above probability by 3 (for the three ways any given person could be assigned to be the non-statistics student).

Therefore, the final probability is:

3 x 0.0225 = 0.0675, which is approximately 0.023 (rounded to two decimal places).

In a Business Class,15% of the Students Have Never Taken