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(B) The cumulative distribution function $F(x)$ is defined as $F(x) = P(X \leq x)$.We need to calculate $F(1.5) - F(-0.5) = P(X \leq 1.5) - P(X \leq -

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$0.4$

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(B) The cumulative distribution function $F(x)$ is defined as $F(x) = P(X \leq x)$.We need to calculate $F(1.5) - F(-0.5) = P(X \leq 1.5) - P(X \leq -0.5)$.By the definition of probability for a discrete random variable,$P(X \leq x) = \sum_{x_i \leq x} P(X = x_i)$.Therefore,$P(X \leq 1.5) = P(X = -1.5) + P(X = -0.5) + P(X = 0.5) + P(X = 1.5) = 0.05 + 0.2 + 0.15 + 0.25 = 0.65$.And $P(X \leq -0.5) = P(X = -1.5) + P(X = -0.5) = 0.05 + 0.2 = 0.25$.Thus,$F(1.5) - F(-0.5) = 0.65 - 0.25 = 0.4$.Alternatively,$F(1.5) - F(-0.5) = P(-0.5 The correct option is $B$.

$X = x$	$-1.5$	$-0.5$	$0.5$	$1.5$	$2.5$
$P(X = x)$	$0.05$	$0.2$	$0.15$	$0.25$	$0.35$

If $X$ is a random variable with cumulative distribution function $F(x)$ and its probability distribution is given by the following table:
$X = x$ $-1.5$ $-0.5$ $0.5$ $1.5$ $2.5$
$P(X = x)$ $0.05$ $0.2$ $0.15$ $0.25$ $0.35$

Then,find the value of $F(1.5) - F(-0.5)$.

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If $X$ is a random variable with cumulative distribution function $F(x)$ and its probability distribution is given by the following table:$X = x$$-1.5$$-0.5$$0.5$$1.5$$2.5$$P(X = x)$$0.05$$0.2$$0.15$$0.25$$0.35$Then,find the value of $F(1.5) - F(-0.5)$.