1
MHT CET 2023 14th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The variance of 20 observations is 5. If each observation is multiplied by 2, then variance of resulting observations is

A
5
B
10
C
4
D
20
2
MHT CET 2023 13th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

Variance of first $$2 n$$ natural numbers is

A
$$\frac{4 n^2+1}{12}$$
B
$$\frac{(2 n-1)^2}{12}$$
C
$$\frac{n^2}{3}-1$$
D
$$\frac{4 n^2-1}{12}$$
3
MHT CET 2023 13th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

If the sum of the mean and the variance of a binomial distribution for 5 trials is 1.8 , then the value of $$p$$ is

A
0.4
B
0.8
C
0.18
D
0.2
4
MHT CET 2023 13th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The c.d.f. $$F(x)$$ associated with p.d.f. $$f(x)$$

$$f(x)=\left\{\begin{array}{cl}12 x^2(1-x), & \text { if } 0< x <1 \\ 0 ; & \text { otherwise }\end{array}\right.$$ is

A
$$F(x)=4 x^3+3 x^4$$
B
$$F(x)=4 x^3-3 x^4$$
C
$$F(x)=-4 x^3-3 x^4$$
D
$$F(x)=-4 x^3+3 x^4$$
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Medical
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Graduate Aptitude Test in Engineering
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Class 12