In a recent survey,70% of human resource directors thought that it was very important for business students to take a course in business ethics.For a sample of 12 human resource directors,what is the probability that at least one of them does not think it very important for business students to take a business ethics course?
A)0.9833
B)0.9521
C)0.9862
D)0.9714

Question

Quizplus · Accepted Answer

The probability that at least one of them does not think it very important is 1 minus the probability that all of them think it is very important. If 70% think it's very important, then 30% do not. The probability that all 12 think it's very important is $0.7^{12}$. Thus, the probability that at least one does not think it's very important is $1 - 0.7^{12} = 0.9862$.

In a Recent Survey,70% of Human Resource Directors Thought That