Question

\begin{equation} f(x) = \begin{cases} \frac{1}{6}x, & 0 \le x \le 2\\ \frac{1}{15}x, & 4 \le x < 6\\ 0, & \text{otherwise} \end{cases} \end{equation} (a) Show that $f(x)$ could be a PDF for the CRV $X$. (b) Find the CDF of $X$. (c) Find $Q_1$, $m$ and $Q_3$ of $X$.

          \begin{equation*} f(x) = \begin{cases} \frac{1}{6}x, & 0 \le x \le 2\\ \frac{1}{15}x, & 4 \le x < 6\\ 0, & \text{otherwise} \end{cases} \end{equation*} (a) Show that $f(x)$ could be a PDF for the CRV $X$.
(b) Find the CDF of $X$.
(c) Find $Q_1$, $m$ and $Q_3$ of $X$.

f(x) = (1)/(6)x, 0 ≤ x ≤ 2
(1)/(15)x, 4 ≤ x < 6
0, otherwise
(a) Show that f(x) could be a PDF for the CRV X.
(b) Find the CDF of X.
(c) Find Q1, m and Q3 of X.

Added by Kenneth J.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Sri K

07/13/2023

Step 1

Step 1: To show that f(x) could be a PDF for the continuous random variable (CRV) X, we need to check if f(x) satisfies the properties of a probability density function. Show more…

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HI need help ASAP, thank you! please explain as detailed as possible, because really dont understand pdf, crv, how to do this question....(a) Show that f(x) could be a PDF for the CRV x (b) Find the CDF of x. (c) Find Q_(1),m and Q_(3) of x. 1 -x,0<x<2 6 1 x,4<x<6 15 0 , otherwise a)Show that f(x)could be a PDF for the CRV X (b)Find the CDF of X. )Find Q, m and Q, of X.