0 votes 0 votes $f(x) = \begin{Bmatrix} cx & if (0<x<4) \\ 0 & otherwise \end{Bmatrix}$ (b) Compute $P(1\leqslant X\leqslant 2)$ Probability probability gravner engineering-mathematics random-variable + – Pooja Khatri asked Sep 26, 2018 Pooja Khatri 303 views answer comment Share Follow See all 0 reply Please log in or register to add a comment.
0 votes 0 votes $P(1 \leq x \leq 2) = \Large \int_{1}^{2} c x = c \int_{1}^{2}x$ $\large = \frac{1}{8} \int_{1}^{2}x$ $\large = \frac{1}{8} \left [ \frac{x^2}{2} \right ]_1^{2}$ $= \Large\frac{3}{16}$ Mk Utkarsh answered Nov 27, 2019 Mk Utkarsh comment Share Follow See 1 comment See all 1 1 comment reply Mk Utkarsh commented Nov 27, 2019 reply Follow Share Part c 0 votes 0 votes Please log in or register to add a comment.