1
MHT CET 2026 16th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
The probability distribution of a random variable X is given by
$X = x$$1$$2$$3$$4$
$P(X = x)$$k$$2k$$3k$$4k$

Then the c.d.f. of X is given by
A
$X = x$$1$$2$$3$$4$
$F(X = x)$$\dfrac{1}{10}$$\dfrac{3}{10}$$\dfrac{6}{10}$$1$
B
$X = x$$1$$2$$3$$4$
$F(X = x)$$\dfrac{3}{10}$$\dfrac{1}{10}$$\dfrac{6}{10}$$1$
C
$X = x$$1$$2$$3$$4$
$F(X = x)$$\dfrac{1}{10}$$\dfrac{3}{10}$$\dfrac{5}{10}$$\dfrac{1}{10}$
D
$X = x$$1$$2$$3$$4$
$F(X = x)$$\dfrac{1}{10}$$\dfrac{6}{10}$$\dfrac{3}{10}$$1$
2
MHT CET 2026 16th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
Two dice are thrown successively 4 times and getting a doublet is called a success. The probability of getting at least 1 success is
A
$\dfrac{50}{1296}$
B
$\dfrac{1246}{1296}$
C
$\dfrac{625}{1296}$
D
$\dfrac{671}{1296}$
3
MHT CET 2026 15th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
If 6 boys and 3 girls are to be seated in a row for a photograph, then the probability that the end seats are occupied by the girls and no two girls are side by side is
A
$\dfrac{5}{12}$
B
$\dfrac{1}{28}$
C
$\dfrac{1}{84}$
D
$\dfrac{5}{84}$
4
MHT CET 2026 15th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
For the following probability distribution, the standard deviation of the random variable X is
X234
p(X=$x$)0.20.50.3
A
$0.5$
B
$0.6$
C
$0.61$
D
$0.7$

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