List of top Statistical Science Questions

Three points are taken at random on the circumference of a circle. What is the probability that they will all lie in a semicircle?
Let Y be the number of successes in n independent repetitions of a random experiment having probability of success \(p= 2/3\). If \(n= 3\), compute P (\(2 \le Y\)).
Let the moment generating function (m.g.f) of a random variable is of the form \(M_X(t)=(0.4e^t +0.6)^8\). Find the mean and variance of a random variable Y=3X+2.
The skewness in a binomial distribution will be zero, if :
Suppose three dice are rolled. Under the condition that no two show the same face, what is the probability that one of the faces is an ace?
Consider a hypothesis \(H_0\) where \(\phi_0 = 5\) against \(H_1\) where \(\phi_1 > 5\). The test is :
If I conduct a research and choose for my sample whoever walks by the mall, that is an example of............ :
If the Z-score of normal distribution is 2.5, the mean of the distribution is 45 and the standard deviation is 3, then the value of X for a normal distribution is:
For a set of 200 observations on a certain random variable X, the mean and standard deviation are 65.7 and 4.4 respectively. However on scrutinizing the data it is found that two observations, which should be correctly read as 71 and 83, had been wrongly recorded as 91 and 80. Obtain the correct values of the mean and the standard deviation.
The difference between an estimate and the parameter is called :
If n is the number of treatments and r is the number of replications, what is the error degrees of freedom in RBD ?
What is the probability of getting a head and a tail in a toss of two coins ?
A random variable X has binomial distribution with n=10 and q=0.3, then variance of X is :
In the Poisson probability distribution, if the value of $\lambda$ is integer then the distribution will be :
Chose the correct answer :
If X is random Poisson variate such that P(X=1) = P(X=2). What is the P(X=4) ?
The mean deviation from the mean $m$ in a normal distribution with variance $v^2$ is approximately :
Kisan Credit Card (KCC) was introduced in India in :
NABARD was established on the recommendations of :
The harmonic mean of {(a)/(1-ab)\ and {(a)/(1+ab)} is equal to :}
Ginger is propagated by means of :
The headquarters of Food and Agricultural Organisation are located in :
Parbhat is an early variety of :
In which state did Dr. Mansukh Mandaviya inaugurate IFFCO Nano Urea Liquid Plants at Aonla and Phulpur ?
Which state became India's top vegetable producer in 2022 ?