1
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
$0.7$
2
MHT CET 2026 15th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
A random variable X has the following probability distribution
X12345678
P(X=$x$)0.150.230.120.100.200.080.070.05

For the event E = { X is a prime number } and F = { X < 4 }, P(E$\cup$F) =
A
$0.87$
B
$0.77$
C
$0.35$
D
$0.50$
3
MHT CET 2026 15th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
The probability that event A happens in a trial is 0.4. If three independent trials are made, then the probability that A happens at least once is.......
A
$0.216$
B
$0.926$
C
$0.064$
D
$0.784$
4
MHT CET 2026 15th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
The centers for disease control have determined that when a person is given a vaccine, the probability that the person will develop immunity to a virus is $0.8$. If $8$ people are given this vaccine, then the probability that exactly $4$ will develop immunity is...
A
$(0.2)(0.8)^4$
B
$(0.112)(0.8)^4$
C
$(0.112)(0.8)^6$
D
$(0.2)^4(0.8)^4$

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