Mathematics Tes...

A continuous random variable, X is defined in the interval 5 to 15.

The probability, P(X = 8) is ______.

The probability distribution of a discrete random variable W is given below:

The value of k is?

If the mean and the variance of a binomial variate Y are 2 and 1 respectively, then the probability that Y takes a value greater than or equal to one is?

For the probability distribution given by 

the standard deviation (σ) is:

The value of k for which the function 

\(f\left( x \right) = \left\{ {\begin{array}{*{20}{c}} {k{e^{ - 3x}},}&{x > 0}\\ 0&{elsewhere} \end{array}} \right.\)

is probability density function, is

If x is a random variable with the expected value of √5  and the standard deviation of 4, then the expected value of x2 is

Find the expectation of random variable a?

The mean and variance of a binomial distribution are 8 and 4 respectively, then p(x = 1) is equal to-

If a random variable X can assume any positive integer value n with a probability \(\frac{1}{{{3^n}}}\), then the expectation of X is _________.

If a fair die is rolled 4 times, then what is the probability that there are exactly 2 sixes?