A uniformly distributed random variable X with probability density function f_x ( x ) = 110 ( u ( x + 5 ) - u ( x - 5 ) ) Where u(⋅) is the unit step function is passed through a transformation given in the figure below. The probability density function of the transformed random variable Y would be

A uniformly distributed random variable X with probability density function $$f_x\left(x\right)=\frac{1}{10}\left(u\left(x+5\right)-u\left(x-5\right)\right)$$
Where u(⋅) is the unit step function is passed through a transformation given in the figure below. The probability density function of the transformed random variable Y would be

Answer: Option B