If X has probability density function f(x) = x/12 on [1,5], find P(1< x < 2).
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- Prove t.(1.)dz %3D (Sth)(らth \et: t=ē?Suppose X1, X2, X3 denote a random sample from the exponential distribution with density function. Please at the image for the full questions.2.5.12.) The length of time that an individual talks on a long-distance telephone call has been found to be of a random nature. Let X be the length of the talk; assume it to be a continuous random variable with probability density func- tion given by f(x) = { ae-(1/5)x 0, x>0 elsewhere. Find (a) The value of a that makes f(x)a probability density function. (b) The probability that this individual will talk (1) between 8 and 12 minutes, (2) less than 8 minutes, (3) more than 12 minutes. (c) Find the cumulative distribution function, F(x).