An airline has classified its customers as high-volume travelers (assumed to be business travelers) or low-volume travelers (assumed to be leisure travelers). Eight-five (85) percent are high volume travelers. If five people are randomly selected from a list of customers, what is the probability all are high-volume (business) travelers?

Answer:The probability is 44.37%.Step-by-step explanation:The probability for a given customer to belong to the business class is given by:[tex]P(B)=0.85[/tex]Since each event is independent we'll obtain the probability as follows:[tex]P(BBBBB) = P(B)\times P(B) \times P(B)\times P(B)\times P(B)= 0.85^5=0.4437[/tex]Therefore the probability that 5 customers chosen from a randomly selected list of customers all belong to the business class is of 44.37%.