Answer
Answer = 0.384
Step-by-step explanation
This is a binomial distribution problem.
Binomial distribution function is represented by
P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ
n = total number of sample spaces = 3
x = Number of successes required = 2
p = probability of success = 0.8
q = probability of failure = 1 - p = 1 - 0.8 = 0.2
P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ
P(X = 2) = ³C₂ 0.8² 0.2³⁻²
P(X = 2) = 3 (0.64) (0.2) = 0.384
Hope this Helps!!!