Previous 10 Questions — AMU MCA 2020
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Suppose random variable $X$ has possible values $1,2,3,\dots$ and $P(X=j)=\frac{1}{2^j}$, $j=1,2,3,\dots$ then $P(X \te…
Topic: AMU MCA 2020
A lot consists of 20 defective and 80 non-defective items. Two items are drawn at random without replacement. What is t…
Topic: AMU MCA 2020
If $X$ has an exponential distribution with mean $3$, then the variance of $X$ is
Topic: AMU MCA 2020
The standard deviation of sample means is called
Topic: AMU MCA 2020
If $x \ge 1$ is the critical region for testing $H_0:\theta=2$ against $H_1:\theta=1$, on the basis of a single observa…
Topic: AMU MCA 2020
The following LPP
Maximize $z = x_1 + x_2$
Subject to
$x_1 + x_2 \le 1$
$-3x_1 + x_2 \ge 3$
$x_1, x_2 \ge 0$
Topic: AMU MCA 2020
In the analysis of data of a randomized block design with 5 blocks and 4 treatments, the error degrees of freedom is:
Topic: AMU MCA 2020
Let $f(x)$ be continuous whose values are known at
$-2,-1,1,2$. If the Lagrange interpolation formula
$f(x)=L_1f(-2)+…
Topic: AMU MCA 2020
The shortest distance from the point $(1,0,-2)$ to the plane
$x+2y+z=4$ is
Topic: AMU MCA 2020
The general solution of the differential equation
$(D^2 - a^2)^3 y = e^{ax}$, where $D=\frac{d}{dx}$ is
Topic: AMU MCA 2020
Next 10 Questions — AMU MCA 2020
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If $X$ has discrete uniform distribution with pmf $f(x)=\frac{1}{8}$ for $x=1,2,\dots,8$, then the mean of the distribu…
Topic: AMU MCA 2020
If $P(X=0)=1-P(X=1)$ and $E(X)=3V(X)$, the value of $P(X=0)$ is
Topic: AMU MCA 2020
If $X$ is a discrete random variable taking positive integer values and possesses memory-less property, then the distri…
Topic: AMU MCA 2020
If $X \sim N(\mu,\sigma^2)$, then
$Z^2=\left(\frac{X-\mu}{\sigma}\right)^2$ is a Chi-square variate with
Topic: AMU MCA 2020
The mean difference between 9 paired observations is 15, and the standard deviation of differences is 5. The value of s…
Topic: AMU MCA 2020
Sum of the deviation about mean is
Topic: AMU MCA 2020
The standard deviation of a set of 50 observations is 8.
If each observation is multiplied by 2, the new value of stan…
Topic: AMU MCA 2020
The standard deviation of first $n$ natural numbers is
Topic: AMU MCA 2020
The points of inflexion of a normal distribution
with mean $\mu$ and variance $\sigma^2$ are
Topic: AMU MCA 2020
If $P$ is the population proportion of some characteristic under study,
$Q=1-P$ and $n$ is the sample size, then the s…
Topic: AMU MCA 2020
