Final answer:
The correct Java statement to generate a random number in the range [41..101] is 'int number = rand.nextInt(61) + 41;' as it creates a range from 41 to 101 inclusive.
Step-by-step explanation:
The student is asking which statement generates a random number in the range of [41..101]. The correct option is (C) int number = rand.nextInt(61) + 41; This line of code will generate a random integer between 0 and 60 (since nextInt(61) generates a number in the range [0..60]) and then adds 41 to shift the range to [41..101].
Options A, B, and D will not give the desired range. Option A adds 101 to a number between 0 and 40, which results in numbers outside the desired range. Option B adds 41 to a number between 0 and 100, which could result in numbers higher than 101. Option D adds 41 to a number between 0 and 59, leading to a maximum of 100, which does not cover the entire desired range.