GATE Electronics and Communications (EC) 2022 Solved Paper

Consider a real valued source whose samples are independent and identically distributed random variables with the probability density function, f(x), as shown in the figure.

Consider a 1 bit quantizer that maps positive samples to value 𝛼 and others to value 𝛽. If α* and β* are the respective choices for α and β that minimize the mean square quantization error, then (α* - β*) = _________ (rounded off to two decimal places).