Previous 10 Questions — AMU MCA 2021
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Let $X\sim N(\mu,\sigma^2)$ where both unknown. Test hypothesis:
Topic: AMU MCA 2021
If $X$ follows geometric distribution, then:
$P(X\ge j+k|X\ge j)=$
Topic: AMU MCA 2021
If $g$ is convex and $X$ is random variable, then:
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
First four moments about 5 are:
$2,20,40,50$
Find S.D.
Topic: AMU MCA 2021
Given regression equations:
$8X-10Y+66=0$
$40X-18Y=214$
Find correlation coefficient $r$.
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
For a normal distribution, the coefficient of Kurtosis $\beta_2$ and $\gamma_2$ are:
Topic: AMU MCA 2021
If the mean and variance of a binomial variate $X$ are 8 and 4 respectively, then
$P(X
Topic: AMU MCA 2021
Let $E(X)=\mu$, $Var(X)=9$. Smallest $m$ such that
$P(|X-\mu|
Topic: AMU MCA 2021
Next 10 Questions — AMU MCA 2021
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If a constant value 5 is subtracted from each observation of a set, the variance is
Topic: AMU MCA 2021
Census survey is free from
Topic: AMU MCA 2021
The skewness in a binomial distribution will be zero, if
Topic: AMU MCA 2021
If experimental material is homogeneous, then suitable design is
Topic: AMU MCA 2021
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
Energy of unstable particle = $100,mc^2$
Lifetime in rest frame = $10^{-8}$ s
Distance travelled in lab frame ≈ ?
Topic: AMU MCA 2021
If electrostatic potential
$\phi=K(x^2+y^2+z^2)$
Find charge density.
Topic: AMU MCA 2021
A resistor (3Ω), inductor (100 μH) and capacitor (140 mF) are connected in series to an a.c. source$E = 282\sin(100t)$.…
Topic: AMU MCA 2021
The refracted ray is completely polarized when angle of incidence is $60^\circ$.
Find velocity of light in glass.
Topic: AMU MCA 2021
Two narrow slits separated by 3 mm are illuminated with wavelength
$\lambda = 5.9\times10^{-7}$ m.
Screen distance = 30…
Topic: AMU MCA 2021
