Problems on Expectation|Statistics|UGC|Class 12
Q. A bag contains 5 white balls and 3 black balls. 3 balls are drawn at randomly without replacement. If X is random variable, w…
Q. A bag contains 5 white balls and 3 black balls. 3 balls are drawn at randomly without replacement. If X is random variable, w…
Click here: Probability Formulas Important Examples Q.If P(A)=a and P(B)=b, show that $\small P(A|B)\leq \frac{a}{b}$ Ans: $\…
1.If the parameter of the exponential distribution is $\theta$, then the condition of var=mean of the distribution is a)$\theta…
Q. What is Consistency? Ans: An estimator $\small T_{n}= T(x_{1},x_{2},....x_{n})$ based on random sample of size $\small n$ is …
Parameter: Q. What is Parameter? Ans: In Statistical Inference parameter belongs to the population for which estimation is requi…
Unbiasedness/ Unbiased Estimators Definition: An Estimator or a function of statistic $\small T_{n}(x_{1},x_{2},x_{3},......x…
1.The mean deviation about the mean for normal distribution is a)$\small \frac{4}{5}\sigma$ b) $\small \frac{5}{4}\sigma$ c…
1.Mean of the uniform distribution is$\small [X\sim U(a,b)]$ a)$\small \frac{b+a}{2}$ b)$\small \frac{b^2+a^2}{2}$ c)$\small…
1. Poisson distribution is a limiting case of ___________________. a) Negative Binomial b)Geometric c)Hypergeometric Ans: a 2…
1. The 4th order central moment of poisson distribution is - a) $\small 2\lambda^{2} + \lambda$ b) $\small 3\lambda^{2} + \lam…
MCQs on Binomial Distribution 1. Ten coins are thrown simultaneously. Find the probability of getting atleast seven heads. a) …
1. What do we expect from the statement "points are very dense". a. poor correlation b. good correlation c. nothing An…
1. A random variable $X$ may have no moments but although its m.g.f exist- justify the statement. a. True b. False c. not e…
MCQs on Expectation The average value of a random phenomenon is also termed as its mathematical expectation or expected value…