Question

Q1. The random variable X has the following CDF: $F_x(x) = \begin{cases} 0 & x < -1 \\ 0.5 & -1 \le x < 3 \\ 0.9 & 3 \le x < 7 \\ 1 & x \ge 7 \end{cases}$ a) Find the PMF of X b) Find the probabilities $P(X = 3)$, $P(3 < X < 5)$, $P(X > 0)$ c) Determine $E[X]$ d) Determine $VAR[X]$

          Q1. The random variable X has the following CDF:
$F_x(x) = \begin{cases} 0 & x < -1 \\ 0.5 & -1 \le x < 3 \\ 0.9 & 3 \le x < 7 \\ 1 & x \ge 7 \end{cases}$
a) Find the PMF of X
b) Find the probabilities $P(X = 3)$, $P(3 < X < 5)$, $P(X > 0)$
c) Determine $E[X]$
d) Determine $VAR[X]$

Q1. The random variable X has the following CDF:
Fx(x) = 0 x < -1
0.5 -1 ≤ x < 3
0.9 3 ≤ x < 7
1 x ≥ 7
a) Find the PMF of X
b) Find the probabilities P(X = 3), P(3 < X < 5), P(X > 0)
c) Determine E[X]
d) Determine VAR[X]

Added by Ronald C.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

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Q1. The random variable X has the following CDF: F(x) = 0, x < -1 0.5, -1 â‰¤ x < 7 1, x â‰¥ 7 a) Find the PMF of X b) Find the probabilities P(X = 3), P(3 < X < 5), P(X > 0) c) Determine E[X] d) Determine VAR[X]