SOLUTION: A large department store offers online ordering. The customer can select one of four delivery options: a) expedited overnight delivery b) expedited second-business-day delive

Question 1193193: A large department store offers online ordering. The customer can select one of four delivery options:
a) expedited overnight delivery
b) expedited second-business-day delivery
c) standard delivery, or
d) delivery to the nearest store for customer pickup.
Suppose that the probability of an overnight delivery selection is 0.3, the probability of a second-day delivery selection is 0.1, and the probability of standard-delivery is 0.2. Find the following probabilities.
i.) The probability that a randomly selected online purchase selects delivery to the nearest store for customer pickup.
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.
Answer by CPhill(1959) (Show Source): You can put this solution on YOUR website!
**i.) Probability of selecting delivery to the nearest store for customer pickup.**
* **Given:**
* Probability of overnight delivery: 0.3
* Probability of second-day delivery: 0.1
* Probability of standard delivery: 0.2
* **Calculate the probability of pickup:**
* Probability of pickup = 1 - (Probability of overnight + Probability of second-day + Probability of standard)
* Probability of pickup = 1 - (0.3 + 0.1 + 0.2) = 1 - 0.6 = 0.4
**Therefore, the probability of selecting delivery to the nearest store for customer pickup is 0.4.**
**ii.) Probability that the customer selects a form of expedited delivery.**
* **Probability of expedited delivery = Probability of overnight + Probability of second-day**
* Probability of expedited delivery = 0.3 + 0.1 = 0.4
**Therefore, the probability that the customer selects a form of expedited delivery is 0.4.**
**iii.) Probability that either standard delivery or delivery to the nearest store is selected.**
* **Probability of standard or pickup = Probability of standard + Probability of pickup**
* Probability of standard or pickup = 0.2 + 0.4 = 0.6
**Therefore, the probability that either standard delivery or delivery to the nearest store is selected is 0.6.**

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