In: Statistics and Probability
a) A bank is interested in studying the number of people who use the ATM. On average, 2 customers walk up to the ATM during any 10 minute. Find the probability in each case.
i) Atleast 5 customer in 20 minutes.
ii) Fewer than 6 but more than 2 customer in 10 minutes.
b) Anderson Research is a full-service marketing research consulting firm. Recently it was retained to do a project for a major U.S. airline. The airline was considering changing from an assignedseating reservation system to one in which fliers would be able to take any seat they wished on a first-come, first-served basis. The airline believes that 70% of its fliers would like this change if it was accompanied with a reduction in ticket prices. Anderson Research will survey a large number of customers on this issue, but prior to conducting the full research, it has selected a random sample of 20 customers. Find the probability in each case:
i) Atleast 12 like the proposed change
b) More than 9 but less than 16 like the proposed change.