Final answer:
The random variable X represents the number of packages shipped by a customer. Without knowing the distribution, we cannot calculate the probabilities of renting specific numbers of DVDs.
Step-by-step explanation:
a. Describe the random variable X in words.
The random variable X represents the number of packages shipped by a customer.
b. Find the probability that a customer rents three DVDs.
To find the probability that a customer rents three DVDs, we need to know the distribution of the random variable X.
However, the question provided does not give any information about the distribution, so we cannot calculate the probability.
c. Find the probability that a customer rents at least four DVDs.
Similarly, without knowing the distribution of X, we cannot calculate the probability of a customer renting at least four DVDs. We need more information to proceed.
d. Find the probability that a customer rents at most two DVDs.
Again, without knowledge of the distribution, we cannot determine the probability of a customer renting at most two DVDs. More information is needed.