X is a continuous random variable with probability density function

X is a continuous random variable with probability density function
f(x) = 2x/9, 0 < x < 3.
What is the value of the number, m, for which P(X < m) = 0.5?


a. 1.4142

b. 2.8284

c. 1.5000

d. 2.1213

e. 2.0000

thanks

d.

0.5 = ∫_[0,m] 2x/9 dx
= m²/9
→ m = 3/√2 ≈ 2.1213