Answer:
D) 0.207
Step-by-step explanation:
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 the probability of failure (1−p).
Here, n = 9, p = 0.63, and q = 0.37.
If r = 4:
P = ₉C₄ (0.63⁴) (0.37⁹⁻⁴)
P = 0.1376
If r = 3:
P = ₉C₃ (0.63³) (0.37⁹⁻³)
P = 0.0539
If r = 2:
P = ₉C₂ (0.63²) (0.37⁹⁻²)
P = 0.0136
If r = 1:
P = ₉C₁ (0.63¹) (0.37⁹⁻¹)
P = 0.0020
If r = 0:
P = ₉C₀ (0.63⁰) (0.37⁹⁻⁰)
P = 0.0001
The total probability is:
P = 0.1376 + 0.0539 + 0.0136 + 0.0020 + 0.0001
P = 0.2072
