Economics and Finance
A Subway restaurant in Scotsbluff, Nebraska, recently installed a new computer system that allows customers to pay for meals with a bank debit card. The manager of the restaurant claims this new system will decrease the waiting time, and that the probability of getting a meal in under two minutes (with this system in place) is 0.75. Suppose four customers are selected at random. Let the random variable X be the number of customers who receive their meal in under two minutes.
a. Construct the probability distribution for X.
b. Suppose none of the four customers receives their meal in under two minutes. Is there any evidence to suggest the manager's claim is false? Justify your answer.