Final answer:
The range (possible values) of the random variable is from 0 to 1070, including both 0 and 1070.
Step-by-step explanation:
The random variable in this question is the number of nonconforming solder connections on a printed circuit board with 1070 connections. The range (possible values) of the random variable is (0, 1, 2, ..., 1070). This means that the number of nonconforming solder connections can be any number from 0 to 1070, including 0 and 1070. Therefore, option b) is the correct answer.