Again for random 32-bit words, what is the average length of the shortest contiguous string of 1's?

Analyze the again for random 32-bit words, what is the average length of the shortest contiguous string of 1's?.

Examples
Input: "test_input_1"
Output: "output_1"
Hints

Again for random 32-bit words, what is the average length of the shortest contiguous string of 1's?

Analyze the again for random 32-bit words, what is the average length of the shortest contiguous string of 1's?.