Researchers often enter a lot of data into statistical software programs. The probability of making zero to two errors per 1,000 keystrokes is 0.42, and the probability of making three to five errors per 1,000 keystrokes is 0.25. Find the probabilities (per 1,000 keystrokes) associated with each of the following.

(a) at most two errors, (b) at least three errors (c) at most five errors (d) more than five errors