Let X be a random variable with mean mu The skewness of X is

Let X be a random variable with mean mu. The skewness of X is defined as It\'the distribution or density of X is symmetric about its mean, then u 0 It the distribution density is skewed with a long tail to the right, it is said to be positively and a.>0 It the distribution is skewed with a long tail to the left, then it is said to be b) Graph the probability density function for a continuous uniform random vanable on the interval (a.b). Show that the skewness is 0 for a random vanable that is uniformly distnbuted on the interval (a,b) distnbuted on the interval (a,0) The probability density (unction of an exponential random % .triable with mean 1 is Graph the probability density function find the skewness of an exponential random variable with meun I_s

Solution

 Let X be a random variable with mean mu. The skewness of X is defined as It\'the distribution or density of X is symmetric about its mean, then u 0 It the dist

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