are . and . respectively. Find the mean and variance of the random variable.
EXERCISE . Choose the Correct or the most suitable answer from the given four alternatives : . Let X be random variable with probability density function ( ) = ≥ Which of the following statement is correct? ( ) both mean and variance exist ( ) mean exists but variance does not exist ( ) both mean and variance do not exist ( ) variance exists but Mean does not exist.
- - Probability Distributions . A rod of length l is broken into two pieces at random. The probability density function of the shorter of the two pieces is l l l l ( ) = The mean and variance of the shorter of the two pieces are respectively ( ) l l ( ) l l ( ) l l ( ) l l . Consider a game where the player tosses a six-sided fair die.
If the face that comes up is , the player wins ` , otherwise he loses ` k , where k is the face that comes up