Biology and Environmental Science Agway, a farm and garden supply store, sells winter fertilizer in 50-pound bags. For customers who purchase this product, the probability distribution for the random variable X, the number of bags sold, is given in the table below.
|
X
|
1
|
2
|
3
|
4
|
5
|
|
P(x)
|
0.55
|
0.35
|
0.07
|
0.02
|
0.01
|
Suppose a person buying winter fertilizer is randomly selected.
a. What is the probability that the customer buys more than two bags?
b. What is the probability that the customer does not buy two bags [P(X ≠ 2)]?
c. Find the probability that two randomly selected customers each buy one bag.
d. Suppose two customers are randomly selected. What is the probability that the total number of bags purchased will be at least eight?
e. Let the random variable Y be the number of pounds sold to a randomly selected customer buying winter fertilizer. Find the probability distribution for Y.