Answer:
D. 0.5256
Step-by-step explanation:
Use binomial probability:
P = nCr p^r q^(n-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).
Given n = 10, p = 0.25, and q = 0.75.
If r = 0:
P = ₁₀C₀ (0.25)⁰ (0.75)¹⁰⁻⁰
P = 0.0563
If r = 1:
P = ₁₀C₁ (0.25)¹ (0.75)¹⁰⁻¹
P = 0.1877
If r = 2:
P = ₁₀C₂ (0.25)² (0.75)¹⁰⁻²
P = 0.2816
So the total probability is:
P = 0.0563 + 0.1877 + 02816
P = 0.5256
