1
MHT CET 2024 16th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The cumulative distribution function of a discrete random variable X is given by

$\mathrm{X}=x$ $-1$ $0$ $1$ $2$
$\mathrm{F(X=x)}$ 0.3 0.7 0.8 1

Then $\mathrm{E(X^2)=}$

A
0.2
B
1.2
C
0.8
D
2.5
2
MHT CET 2024 16th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

A five digit number divisible by 3 is to be formed using the digits $0,1,2,3,4,5$ without repetition, then the total number of ways this can be done is

A
216
B
240
C
96
D
120
3
MHT CET 2024 16th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The statement $\sim(p \leftrightarrow \sim q)$ is

A
equivalent to $\mathrm{p} \leftrightarrow \mathrm{q}$
B
a fallacy
C
a tautology
D
equivalent to $\sim \mathrm{p} \leftrightarrow \mathrm{q}$
4
MHT CET 2024 16th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $x=-1$ and $x=2$ are extreme points of $f(x)=\alpha \log |x|+\beta x^2+x$, then

A
$\alpha=-6, \beta=\frac{1}{2}$
B
$\alpha=-6, \beta=-\frac{1}{2}$
C
$\alpha=2, \beta=-\frac{1}{2}$
D
$\alpha=2, \beta=\frac{1}{2}$
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