If $X \sim N(\mu,\sigma^2)$, then $Z^2=\left(\frac{X-\mu}{\sigma}\right)^2$ is a Chi-square variate with
Previous 10 Questions — AMU MCA 2020
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If $X$ is a discrete random variable taking positive integer values and possesses memory-less property, then the distri…
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 $X$ 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
Coefficient of correlation is equal to
Topic: AMU MCA 2020
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
Next 10 Questions — AMU MCA 2020
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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
Let $X_1, X_2, \dots, X_n$ be independently and identically distributed
$N(\mu,\sigma^2)$. Which of the following is s…
Topic: AMU MCA 2020
Two bodies of mass 100 g and 20 g are moving with velocities
$(2\hat{i}-7\hat{j}+3\hat{k})$ cm/s and $(-10\hat{i}+35\h…
Topic: AMU MCA 2020
The kinetic energy of a body is twice its rest mass energy.
What is the ratio of relativistic mass to rest mass?
Topic: AMU MCA 2020
Which of the following potentials does not satisfy Laplace’s equation?
Topic: AMU MCA 2020
