If $X$ is a r. v. with c. d. f. $F(x)$ and its probability distribution is given by then, $\mathrm{F}(1…
If $X$ is a r. v. with c. d. f. $F(x)$ and its probability distribution is given by
then, $\mathrm{F}(1 \cdot 5)-\mathrm{F}(-0 \cdot 5)=$
- $0 \cdot 2$
- $0 \cdot 3$
- $0 \cdot 1$
- $0 \cdot 4$
Solution
$\begin{array}{l}
F(1.5)-F(-0.5) \\
=P[X \leq 1.5]-P[X \leq-0.5] \\
=[P(X=-1.5)+P(X=-0.5)+P(X=0.5)+P(X=1.5)]-[P(X=-1.5)+P(X=-0.5)] \\
=P(X=0.5)+P(X=1.5)=0.15+0.25=0.4
\end{array}$
Asked in: MHT CET 2020 (19 Oct Shift 2)
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