1
MHT CET 2023 11th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

Let a random variable $$\mathrm{X}$$ have a Binomial distribution with mean 8 and variance 4. If $$\mathrm{P}(\mathrm{X} \leq 2)=\frac{\mathrm{K}}{2^{16}}$$, then $$\mathrm{K}$$ is

A
17
B
121
C
136
D
137
2
MHT CET 2023 11th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

From a lot of 20 baskets, which includes 6 defective baskets, a sample of 2 baskets is drawn at random one by one without replacement. The expected value of number of defective basket is

A
0.6
B
0.06
C
0.006
D
1.07
3
MHT CET 2023 11th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

Three of six vertices of a regular hexagon are chosen at random. The probability that the triangle with these three vertices is equilateral, equals ___________.

A
$$\frac{1}{2}$$
B
$$\frac{1}{5}$$
C
$$\frac{1}{10}$$
D
$$\frac{1}{20}$$
4
MHT CET 2023 11th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

A binomial random variable $$\mathrm{X}$$ satisfies $$9. p(X=4)=p(X=2)$$ when $$n=6$$. Then $$p$$ is equal to

A
$$\frac{1}{4}$$
B
$$\frac{1}{2}$$
C
$$\frac{1}{8}$$
D
$$\frac{1}{5}$$
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