Question

question 8 of 10
suppose that a randomly generated list of numbers from 0 to 9 is being used to simulate an event that has a probability of success of 70%. which of these groups of numbers could represent a success?
a. 0, 1, 2, 3, 4, 5
b. 0, 1, 2, 3, 4, 5, 6, 7
c. 0, 1, 2, 3, 4, 5, 6, 7, 8
d. 0, 1, 2, 3, 4, 5, 6

Explanation:

Step1: Determine total numbers

Numbers from 0 to 9: total \( n = 10 \) numbers.

Step2: Calculate number for 70% success

70% of 10: \( 0.7 \times 10 = 7 \) numbers should represent success.

Step3: Analyze each option

• Option A: 6 numbers (0 - 5) → 6 ≠ 7.
• Option B: 8 numbers (0 - 7) → 8 ≠ 7.
• Option C: 9 numbers (0 - 8) → 9 ≠ 7.
• Option D: 7 numbers (0 - 6) → 7 = 7.

Answer:

D. 0, 1, 2, 3, 4, 5, 6