The cumulative distribution function of a random variable X is given by F(x)= 0; if x Find the probability density function of x and P(-

The cumulative distribution function of a random variable X is given by F(x)= 0; if x<= - ; if - < x < 1; if x >

Find the probability density function of x and P(- /2 < x < /2). ( (b) The length of time a person speaks over phone follows exponential distribution with mean 6. What is the probability that a person will talk for (i) more than 8 minutes (ii) between 4 and 8 minutes?

(c) If X is uniform random variable over the interval (a,b). Find the mean and variance of X