For a normal distribution, the coefficient of Kurtosis $\beta_2$ and $\gamma_2$ are:

1

If the mean and variance of a binomial variate $X$ are 8 and 4 respectively, then $P(X

Topic: AMU MCA 2021

2

Let $E(X)=\mu$, $Var(X)=9$. Smallest $m$ such that $P(|X-\mu|

Topic: AMU MCA 2021

3

If $X_1,\dots,X_n$ are Bernoulli with probability $p$, then constant estimate of $p(1-p)$ is

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4

Let $x_1=2.2,\ x_2=4.1,\ x_3=3.4,\ x_4=4.5,\ x_5=1.1,\ x_6=5.7$ be sample from $U(0,\theta)$. Then MLE of $\theta$ is:

Topic: AMU MCA 2021

5

In case of two-way classification with $r$ rows and $c$ columns, the degree of freedom for error is:

Topic: AMU MCA 2021

6

The equation of a circular cylinder, whose guiding curve is $ x^2+y^2+z^2=9,\quad x-y+z=3 $ will be

Topic: AMU MCA 2021

7

If $y_1$ and $y_2$ are two solutions of $ y''+p(x)y'+q(x)y=0 $ and Wronskian $W(y_1,y_2)=0$, then $y_1,y_2$ are

Topic: AMU MCA 2021

8

An integrating factor for $ (y^2+2y),dx+(2xy+x^2),dy=0 $ is

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9

If $y_1=4,\ y_2=12,\ y_4=19$ and $y_x=7$ then value of $x$ is approx

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10

The locus of points from which three mutually perpendicular tangents can be drawn to $ ax^2+by^2=2z $ is

Topic: AMU MCA 2021

1

If $X$ is the number of heads obtained in four tosses of a balanced coin. Define $ Y=\dfrac{1}{1+X} $ Find $P\left(Y=…

Topic: AMU MCA 2021

2

Given regression equations: $8X-10Y+66=0$ $40X-18Y=214$ Find correlation coefficient $r$.

Topic: AMU MCA 2021

3

First four moments about 5 are: $2,20,40,50$ Find S.D.

Topic: AMU MCA 2021

4

Given: $P(A)=\frac13$ $P(B)=\frac14$ $P(A\cup B)=\frac{11}{12}$ Find $P(B|A)$

Topic: AMU MCA 2021

5

If $g$ is convex and $X$ is random variable, then:

Topic: AMU MCA 2021

6

If $X$ follows geometric distribution, then: $P(X\ge j+k|X\ge j)=$

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7

Let $X\sim N(\mu,\sigma^2)$ where both unknown. Test hypothesis:

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8

Bowley’s coefficient of skewness is based on

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9

If a constant value 5 is subtracted from each observation of a set, the variance is

Topic: AMU MCA 2021

10

Census survey is free from

Topic: AMU MCA 2021