1
MHT CET 2026 16th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
A random variable X has the probability distribution
$X = x$$1$$2$$3$$4$$5$$6$$7$$8$
$P(X = x)$$0.23$$0.15$$0.12$$0.10$$0.20$$0.07$$0.08$$0.05$

for the events E = {X is a prime number} and F = {X $\leq$ 3}, then P (E$\cup$F)=
A
$0.55$
B
$0.70$
C
$0.87$
D
$0.78$
2
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$
3
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
$\dfrac{671}{1296}$
4
MHT CET 2026 16th April Morning Shift
MCQ (Single Correct Answer)
+1
-0
A wire has mass $(0.3 \pm 0.003)$ gram, radius $(0.5 \pm 0.005)$ cm and length $(6 \pm 0.06)$ cm. The maximum percentage error in the measurement of density is
A
$2\,\%$
B
$3\,\%$
C
$4\,\%$
D
$5\,\%$

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