Answer:
0.0512
Step-by-step explanation:
We are told in the question that X isa Binomial variable. Hence we solve this question, using the formula for Binomial probability.
The formula for Binomial Probability = P(x) = (n!/(n - x) x!) × p^x × q ^n - x
In the above question,
x = 3
n = 5
p = probability for success = 0.2
q = probability for failures = 1 - 0.2 = 0.8
P(x) = (n!/(n - x) x!) × p^x × q ^n - x
P(3) = (5!/(5 - 3) 3!) × 0.2^3 × 0.8^5-3
P(3) =( 5!/2! × 3!) × 0.2³ × 0.8²
P(3) = 10 × 0.008 × 0.64
P(3) = 0.0512
