MCQ
A line joining points $(4,-1,2)$ and $(-3,2,3)$ meets a plane perpendicularly at point $(-10,5,4)$. Equation of this plane is
- A$7 x-3 y+z+89=0$
- ✓$7 x-3 y-z+89=0$
- C$7 x+3 y+z+89=0$
- D$7 x-y+3 z=89$
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The p.d.f. of a c.r.v. $X$ is
$ f(x)=\left\{\begin{array}{c} 6 x(1-x), \quad 0 \leq x \leq 1 \\ 0, \quad \text { elsewhere } \end{array}\right. $
If $P(X<a)=P(X>a)$, then $a=$
If the p.d.f. of a r.v. $X$ is given as
| $x_i$ | -2 | -1 | 0 | 1 | 2 |
| $P\left(X=x_i\right)$ | 0.2 | 0.3 | 0.15 | 0.25 | 0.1 |
then $F(0)=$