Question

Suppose X is a continuous random variable with probability density function given by $\qquad f(x) = \begin{cases} \frac{x}{8} & \text{if } 0 \le x \le 4 \\ 0 & \text{otherwise} \end{cases}$ The graph of $f$ is shown in the figure. Find the following probabilities. (Use decimal notation. Give your answers to four decimal places if needed.) (a) $P(X \le 1) = 0.0625$ (b) $P(X > 3) = 0.4375$ (c) $P(X > 4) = 0$ (d) $P(2 \le X \le 3) = 0.3125$ (e) $P(X \le 2 \mid X \le 3) = 0.5555$

          Suppose X is a continuous random variable with probability density function given by
$\qquad f(x) = \begin{cases} \frac{x}{8} & \text{if } 0 \le x \le 4 \\ 0 & \text{otherwise} \end{cases}$
The graph of $f$ is shown in the figure.
Find the following probabilities.
(Use decimal notation. Give your answers to four decimal places if needed.)
(a) $P(X \le 1) = 0.0625$
(b) $P(X > 3) = 0.4375$
(c) $P(X > 4) = 0$
(d) $P(2 \le X \le 3) = 0.3125$
(e) $P(X \le 2 \mid X \le 3) = 0.5555$

Suppose X is a continuous random variable with probability density function given by
f(x) = (x)/(8) if 0 ≤ x ≤ 4
0 otherwise
The graph of f is shown in the figure.
Find the following probabilities.
(Use decimal notation. Give your answers to four decimal places if needed.)
(a) P(X ≤ 1) = 0.0625
(b) P(X > 3) = 0.4375
(c) P(X > 4) = 0
(d) P(2 ≤ X ≤ 3) = 0.3125
(e) P(X ≤ 2 | X ≤ 3) = 0.5555

Added by Brianna E.

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