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

1

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

Topic: AMU MCA 2021

2

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

Topic: AMU MCA 2021

3

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

Topic: AMU MCA 2021

4

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

5

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

Topic: AMU MCA 2021

6

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

Topic: AMU MCA 2021

7

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

Topic: AMU MCA 2021

8

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

Topic: AMU MCA 2021

9

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

10

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

Topic: AMU MCA 2021

1

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

Topic: AMU MCA 2021

2

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

Topic: AMU MCA 2021

3

Bowley’s coefficient of skewness is based on

Topic: AMU MCA 2021

4

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

Topic: AMU MCA 2021

5

Census survey is free from

Topic: AMU MCA 2021

6

The skewness in a binomial distribution will be zero, if

Topic: AMU MCA 2021

7

If experimental material is homogeneous, then suitable design is

Topic: AMU MCA 2021

8

A particle of mass 2 kg is moving such that its position is given by $P(t)=5\hat{i}-2t^2\hat{j}$ Find angular momentu…

Topic: AMU MCA 2021

9

Energy of unstable particle = $100,mc^2$ Lifetime in rest frame = $10^{-8}$ s Distance travelled in lab frame ≈ ?

Topic: AMU MCA 2021

10

If electrostatic potential $\phi=K(x^2+y^2+z^2)$ Find charge density.

Topic: AMU MCA 2021