Answer
The answer = 0.3125 or 31.25% = 31.3% to 1 decimal place.
Step-by-step explanation
A binomial experiment is one in which the probability of success doesn't change with every run or number of trials.
It usually consists of a number of runs/trials with only two possible outcomes, a success or a failure.
The outcome of each trial/run of a binomial experiment is independent of one another.
Binomial distribution function is represented by
P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ
n = total number of sample spaces/trials = 5
x = Number of successes required = 2
p = probability of success = 50% = 0.50
q = probability of failure = 1 - p = 1 - 0.50 = 0.50
P(X = 2) = ⁵C₂ (0.50)² (0.50)⁵⁻²
= (5!/3!2!) (0.25) (0.125)
= 10 (0.25) (0.125)
= 0.3125 or 31.25%
Hope this Helps!!!