1
MHT CET 2019 2nd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

It is observed that $25 \%$ of the cases related to child labour reported to the police station are solved. If 6 new cases are reported, then the probability that atleast 5 of them will be solved is

A
$\left(\frac{1}{4}\right)^6$
B
$\frac{19}{1024}$
C
$\frac{19}{2048}$
D
$\frac{19}{4096}$
2
MHT CET 2019 2nd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

A bag contains 6 white and 4 black balls. Two balls are drawn at random. The probability that they are of the same colour is ...........

A
$\frac{5}{7}$
B
$\frac{1}{7}$
C
$\frac{7}{15}$
D
$\frac{1}{15}$
3
MHT CET 2019 2nd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

A random variable X has following probability distribution

$X=x$ 1 2 3 4 5 6
$P(X=x)$ K 3K 5K 7K 8K K

Then $P(2 \leq X<5)=\ldots \ldots$

A
$\frac{3}{5}$
B
$\frac{7}{25}$
C
$\frac{23}{25}$
D
$\frac{24}{25}$
4
MHT CET 2019 2nd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

If the c.d.f (cumulative distribution function) is given by $F(x)=\frac{x-25}{10}$, then $P(27 \leq x \leq 33)=\ldots \ldots$

A
$\frac{3}{5}$
B
$\frac{3}{10}$
C
$\frac{1}{5}$
D
$\frac{1}{10}$
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