The Anderson Lumber Company has three sawmills that produce boards of different lengths.The following table is a joint frequency distribution based on a random sample of 1000 boards selected from the lumber inventory. Based on these data,if three boards are selected at random,the probability that all three were made at sawmill A is:
A)0.037
B)0.334.
C)1.00.
D)0.556.

Question

The Anderson Lumber Company has three sawmills that produce boards of different lengths.The following table is a joint frequency distribution based on a random sample of 1000 boards selected from the lumber inventory.  Based on these data,if three boards are selected at random,the probability that all three were made at sawmill A is:
A)0.037 
B)0.334. 
C)1.00. 
D)0.556.

Quizplus · Accepted Answer

To find the probability that all three boards were made at sawmill A, we need to multiply the individual probabilities of selecting a board from sawmill A for each of the three selections. From the table, we can see that the probability of selecting a board from sawmill A is 0.137. So, the probability of selecting a board from sawmill A for all three selections is:
0.137 x 0.137 x 0.137 = 0.037
Therefore, the answer is A) 0.037.

The Anderson Lumber Company Has Three Sawmills That Produce Boards