Cranston Forest Products manufactures lumber for large material supply centers like Home Depot and L
Question: Cranston Forest Products manufactures lumber for large material supply centers like Home Depot and Lowe’s. A representative from Home Depot is due to arrive at the Cranston plant for a meeting to discuss lumber quality. When the Home Depot representative arrives, he will ask Cranston managers to randomly select one board from Cranston’s finished goods inventory for a quality check. Boards of 3 dimensions and 3 lengths are in inventory. The following chart shows the number of boards of each size and length.
| Dimension | ||||
| Length | 2” x 4” | 2” x 6” | 2” x 8” | Total |
| 8 ft | 1,400 | 1,500 | 1,100 | 4,000 |
| 10 ft | 2,000 | 3,500 | 2,500 | 8,000 |
| 12 ft | 1,600 | 2,000 | 2,400 | 6,000 |
| Total | 5,000 | 7,000 | 6,000 | 18,000 |
a. Find the probability that a randomly selected board is a 2” x 4”.
b. Find the probability that a randomly selected board is 12 ft.
c. Find the probability that a randomly selected board is not a 2” x 8”.
d. Find the probability that a randomly selected board is a 2” x 6” given that it is 10 ft.
e. Find the probability that a randomly selected board is a 2” x 4” and is 8 ft.
f. Find the probability that a randomly selected board is a 2” x 6” or is 12 ft.
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