1
MHT CET 2026 17th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
If the mean and the variance of a binomial variate X are 1 and 0.75 respectively, then which of the following is true?
A
$P(X = 0) = 3P(X = 4)$
B
$P(X = 1) = 2P(X = 2)$
C
$P(X = 3) = 3P(X = 4)$
D
$3P(X = 0) = 4P(X = 1)$
2
MHT CET 2026 17th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
A box contains 8 red and N green balls. Two balls are drawn at random from it. If X is the random variable representing the number of green balls drawn and $E(X) = 1.2$, then $N = \ldots$
A
$4$
B
$8$
C
$12$
D
$16$
3
MHT CET 2026 16th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
If a fair coin is tossed 8 times, then the probability of getting at most 2 heads is...
A
$\dfrac{37}{64}$
B
$\dfrac{37}{256}$
C
$\dfrac{37}{128}$
D
$\dfrac{37}{512}$
4
MHT CET 2026 16th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
If a random variable $X$ has a probability mass function $P(x) = \begin{cases} kx^2, & \text{for } x = 1, 2, 3, 4 \\ 0, & \text{otherwise} \end{cases}$, then the mean of $X$ is ...
A
$3.232$
B
$2.221$
C
$3.333$
D
$2.222$

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