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A large department store offers online ordering. When a purchase is made online, the customer can select one of four different delivery options: expedited overnight delivery, expedited second-business-day delivery, standard delivery, or delivery to the nearest store for customer pick-up. Consider the chance experiment that consists of observing the selected delivery option for a randomly selected online purchase.
a. What are the four simple events that make up the sample space for this experiment?
b. Suppose that the probability of an overnight delivery selection is .1, the probability of a second-day delivery selection is .3, and the probability of a standard-delivery selection is .4. Find the following probabilities.
i. the probability that a randomly selected online purchase selects delivery to the nearest store for customer pick-up.
ii. the probability that the customer selects a form of expedited delivery.
iii. the probability that either standard delivery or delivery to the nearest store is selected.
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