1
MHT CET 2021 21th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

In a meeting $$60 \%$$ of the members favour and $$40 \%$$ oppose a certain proposal. A member is selected at random and we take $$\mathrm{X}=0$$ if he opposed and $$\mathrm{X}=1$$ if he is in favour, then $$\operatorname{Var} \mathrm{X}=$$

A
0.36
B
0.24
C
0.6
D
0.06
2
MHT CET 2021 21th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

A lot of 100 bulbs contains 10 defective bulbs. Five bulbs selected at random from the lot and sent to retain store, then the probability that the store will receive at most one defective bulb is

A
0.59049
B
0.91854
C
0.6561
D
0.32805
3
MHT CET 2021 21th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

A coin is tossed and a die is thrown. The probability that the outcome will be head or a number greater than 4 or both, is

A
$$\frac{2}{3}$$
B
$$\frac{1}{6}$$
C
$$\frac{1}{2}$$
D
$$\frac{1}{3}$$
4
MHT CET 2021 21th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

If $$\mathrm{X}$$ is a random variable with p.m.f. as follows.

$$\begin{aligned} \mathrm{P}(\mathrm{X}=\mathrm{x}) & =\frac{5}{16}, \mathrm{x}=0,1 \\ & =\frac{\mathrm{kx}}{48}, \mathrm{x}=2, \quad \text { then } \mathrm{E}(\mathrm{x})= \\ & =\frac{1}{4}, \mathrm{x}=3 \end{aligned}$$

A
1.1875
B
1.3125
C
1.5625
D
0.5625
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