Answer:
16.9%
Step-by-step explanation:
If at least 7 are female, that means either 7 or 8 are female.
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 the probability of failure (1−p).
Here, n = 8, p = 0.65, and r = 7 or 8.
P = ₈C₇ (0.65)⁷ (0.35)⁸⁻⁷ + ₈C₈ (0.65)⁸ (0.35)⁸⁻⁸
P = (8) (0.65)⁷ (0.35)¹ + (1) (0.65)⁸ (0.35)⁰
P = 8 (0.65)⁷ (0.35) + (0.65)⁸
P = 0.169
