Inverse Probability Calculation: Calculation_1

X ∼ Binomial(n = 15, p = 0.25)
The Expected Value is E(X) = 3.75 and the Variance is V(X) = 2.812.
The x values such that the tail probabilitiy densities are at least 0.1 and 0.2 are 2 and 5.
P(X ≤ 2) + P(X ≥ 5) = 0.5496 ≥ 0.3