Answer:
D. 0.6331
Step-by-step explanation:
Use binomial probability:
P = nCr pʳ qⁿ⁻ʳ
where n is the number of trials,
r is the number of successes,
p is the probability of success,
and q is 1−p, the probability of failure.
More than half of 10 jurors is 6, 7, 8, 9, and 10. Find the probability of each.
If r = 6:
P = ₁₀C₆ (0.6)⁶ (0.4)⁴
P = 0.2508
If r = 7:
P = ₁₀C₇ (0.6)⁷ (0.4)³
P = 0.2150
If r = 8:
P = ₁₀C₈ (0.6)⁸ (0.4)²
P = 0.1209
If r = 9:
P = ₁₀C₉ (0.6)⁹ (0.4)¹
P = 0.0403
If r = 10:
P = ₁₀C₁₀ (0.6)¹⁰ (0.4)⁰
P = 0.0060
Therefore, the total probability is:
P = 0.2508 + 0.2150 + 0.1209 + 0.0403 + 0.0060
P = 0.6330
