The following is the c.d.f. of a discrete r.v. X:
X $- 3$ $- 1$ $0$ $1$ $3$ $5$ $7$ $9$
$F (x)$ $0.1$ $0.3$ $0.5$ $0.65$ $0.75$ $0.85$ $0.90$ $1$
Find $P (- 1 \leq X < 2)$ .

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Solution

$P (- 1 \leq X \leq 2) = P (X = - 1) + P (X = 0) + P (X = 1)$
$= 0.2 + 0.2 + 0.15$
$= 0.55$
Hence, the answer is $0.55$

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Similar questions

X	$- 3$	$- 1$	$0$	$1$	$3$	$5$	$7$	$9$
$F (x)$	$0.1$	$0.3$	$0.5$	$0.65$	$0.75$	$0.85$	$0.90$	$1$

P (X = - 3 / X < 0)

X	$- 3$	$- 1$	$0$	$1$	$3$	$5$	$7$	$9$
$F (x)$	$0.1$	$0.3$	$0.5$	$0.65$	$0.75$	$0.85$	$0.90$	$1$

P (X \geq 5)

X	$- 3$	$- 1$	$0$	$1$	$3$	$5$	$7$	$9$
$F (x)$	$0.1$	$0.3$	$0.5$	$0.65$	$0.75$	$0.85$	$0.90$	$1$

P (X \leq 3 / X > 0)

$x_{i}$	$- 3$	$- 2$	$- 1$	$0$	$1$	$2$	$3$
$F (x_{i})$	$0.1$	$0.3$	$0.6$	$0.7$	$0.8$	$0.92$	$1$

P (X = 2)

F (x)

X

$x$	$1$	$2$	$3$	$4$	$5$	$6$
$F (x)$	$0.2$	$0.37$	$0.48$	$0.62$	$0.85$	$1$

P (3 < x \leq 5) =

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