Let $E(X)=\mu$, $Var(X)=9$. Smallest $m$ such that
$P(|X-\mu|
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If $X_1,\dots,X_n$ are Bernoulli with probability $p$, then constant estimate of $p(1-p)$ is
Topic: AMU MCA 2021
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
In case of two-way classification with $r$ rows and $c$ columns, the degree of freedom for error is:
Topic: AMU MCA 2021
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
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
An integrating factor for
$ (y^2+2y),dx+(2xy+x^2),dy=0 $
is
Topic: AMU MCA 2021
If $y_1=4,\ y_2=12,\ y_4=19$ and $y_x=7$ then value of $x$ is approx
Topic: AMU MCA 2021
The locus of points from which three mutually perpendicular tangents can be drawn to
$ ax^2+by^2=2z $
is
Topic: AMU MCA 2021
Which of the following is incorrect?
Topic: AMU MCA 2021
The third order divided difference of $ \frac{1}{x} $ based on arguments $x_0,x_1,x_2,x_3$ is
Topic: AMU MCA 2021
Next 10 Questions — AMU MCA 2021
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If the mean and variance of a binomial variate $X$ are 8 and 4 respectively, then
$P(X
Topic: AMU MCA 2021
For a normal distribution, the coefficient of Kurtosis $\beta_2$ and $\gamma_2$ are:
Topic: AMU MCA 2021
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
Given regression equations:
$8X-10Y+66=0$
$40X-18Y=214$
Find correlation coefficient $r$.
Topic: AMU MCA 2021
First four moments about 5 are:
$2,20,40,50$
Find S.D.
Topic: AMU MCA 2021
Given:
$P(A)=\frac13$
$P(B)=\frac14$
$P(A\cup B)=\frac{11}{12}$
Find $P(B|A)$
Topic: AMU MCA 2021
If $g$ is convex and $X$ is random variable, then:
Topic: AMU MCA 2021
If $X$ follows geometric distribution, then:
$P(X\ge j+k|X\ge j)=$
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Let $X\sim N(\mu,\sigma^2)$ where both unknown. Test hypothesis:
Topic: AMU MCA 2021
Bowley’s coefficient of skewness is based on
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