1
MHT CET 2024 3rd May Evening Shift
MCQ (Single Correct Answer)
+2
-0

Let a random variable X have a Binomial distribution with mean 8 and variance 4 . If $\mathrm{P}(x \leqslant 2)=\frac{\mathrm{k}}{2^{16}}$, then k is equal to

A
17
B
121
C
1
D
137
2
MHT CET 2024 3rd May Evening Shift
MCQ (Single Correct Answer)
+2
-0

For the probability distribution

$\mathrm{X:}$ $-2$ $-1$ $0$ $1$ $2$ $3$
$\mathrm{p}(x):$ 0.1 0.2 0.2 0.3 0.15 0.05

Then the $\operatorname{Var}(\mathrm{X})$ is

(Given : $$\left.(0.25)^2=0.0625,(0.35)^2=0.1225,(0.45)^2=0.2025\right)$$

A
0.8275
B
1.1225
C
1.8275
D
2.0725
3
MHT CET 2024 3rd May Evening Shift
MCQ (Single Correct Answer)
+2
-0

Two cards are drawn successively with replacement from a well- shuffled pack of 52 cards. Let X denote the random variable of number of kings obtained in the two drawn cards. Then $\mathrm{P}(x=1)+\mathrm{P}(x=2)$ equals

A
$\frac{49}{169}$
B
$\frac{24}{169}$
C
$\frac{52}{169}$
D
$\frac{25}{169}$
4
MHT CET 2024 3rd May Evening Shift
MCQ (Single Correct Answer)
+2
-0

Two cards are drawn successively with replacement from a well shuffled pack of 52 cards. Then mean of number of kings is

A
$\frac{1}{13}$
B
$\frac{1}{169}$
C
$\frac{2}{13}$
D
$\frac{4}{169}$
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