Question

Name: (print!) Section Date: 1. Consider the continuous probability density function $f(x) = \begin{cases} \frac{1}{5} & \text{for } 0 \le x < 3 \\ \frac{1}{5} & \text{for } 3 \le x \le 7 \\ 0 & \text{elsewhere} \end{cases}$ (a) Find $P(2 \le X \le 6)$. You should not need to integrate, since the function is constant on intervals. (b) Sketch the graph of $F(x)$. 2. Find each probability. (a) $P(Z < -1.86)$ (c) $P(-1.54 \le Z \le -0.13)$ 3. (b) $P(Z \ge 2.26)$ (d) $P(-2.09 \le Z \le 1.27)$ For each of the following, find the value of $z$ such that (a) $P(Z \le z) = 0.58$ (b) $P(Z \ge z) = 0.71$ (c) $P(-z \le Z \le z) = 0.37$ (d) $P(0 \le Z \le z) = 0.42$

          Name: (print!)
Section
Date:
1.
Consider the continuous probability density function $f(x) = \begin{cases} \frac{1}{5} & \text{for } 0 \le x < 3 \\ \frac{1}{5} & \text{for } 3 \le x \le 7 \\ 0 & \text{elsewhere} \end{cases}$
(a) Find $P(2 \le X \le 6)$. You should not need to integrate, since the function is constant
on intervals.
(b) Sketch the graph of $F(x)$.
2.
Find each probability.
(a) $P(Z < -1.86)$
(c) $P(-1.54 \le Z \le -0.13)$
3.
(b) $P(Z \ge 2.26)$
(d) $P(-2.09 \le Z \le 1.27)$
For each of the following, find the value of $z$ such that
(a) $P(Z \le z) = 0.58$
(b) $P(Z \ge z) = 0.71$
(c) $P(-z \le Z \le z) = 0.37$
(d) $P(0 \le Z \le z) = 0.42$

Name: (print!)
Section
Date:
1.
Consider the continuous probability density function f(x) = (1)/(5) for 0 ≤ x < 3
(1)/(5) for 3 ≤ x ≤ 7
0 elsewhere
(a) Find P(2 ≤ X ≤ 6). You should not need to integrate, since the function is constant
on intervals.
(b) Sketch the graph of F(x).
2.
Find each probability.
(a) P(Z < -1.86)
(c) P(-1.54 ≤ Z ≤ -0.13)
3.
(b) P(Z ≥ 2.26)
(d) P(-2.09 ≤ Z ≤ 1.27)
For each of the following, find the value of z such that
(a) P(Z ≤ z) = 0.58
(b) P(Z ≥ z) = 0.71
(c) P(-z ≤ Z ≤ z) = 0.37
(d) P(0 ≤ Z ≤ z) = 0.42

Added by Kyle F.

Question

Please give Ace some feedback