Suppose X₁...... X_n are i.i.d with Uniform (0,b), where b>0 is a constant

a)Find the pdf of Y_n = max{ X₁...... X_n}

b)Letx _n be the sample mean X₁...... X_n Let n =20 use the central limit theorem to approximiate P(x₂₀/b <0.6)

c)Here 2x _n converges to a constant in probability, what constant does 2x _n converges to