Mathematics Tes...

Which among the following is the standard deviation of Binomial distribution?

Find the mean of the Binomial distribution if n = 10, p = 4/5, q = 1/5

Find the expected value of a random variable which has the following probability distribution?

The values of c for which the function f(x) is a p.d.f. is?

\(f\left( x \right) = \left\{ {\begin{array}{*{20}{c}} {\frac{c}{{\sqrt x }},}&{0 < x < 4}\\ {0,}&{otherwise} \end{array}} \right.\)

A fair six-sided die is rolled, with X being the number on the uppermost face. The expectation of X is:

Let the random variables X follow B (6, p) If \(16{\rm{\;P\;}}\left( {{\rm{X}} = 4} \right) = {\rm{P\;}}\left( {{\rm{X}} = 2} \right)\), then what is the value of p

In an examination, the probability of a candidate solving a question is 1/2. out of given 5 questions in the examination, what is the probability that the candidate was able to solve at least 2 questions?

The random variable X has a probability density function as given by

\(f\left( x \right) = \left\{ {\begin{array}{*{20}{c}} {3{x^2},\;\;0 \le x \le 1}\\ {0,\;\;otherwise} \end{array}} \right.\)

If x is a random variable with the expected value of 5 and the variance of 1, then the expected value of x² is

The mean and the variance in a binomial distribution are found to be 2 and 1 respectively. The probability P(X = 0) is