# Show steps, thanks The length of time that an individual talks on a long-distance telephone call...

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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 function given by f(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 (i) between 8 and 12 minutes, (i) less than 8 minutes, (iii) more than 12 minutes. (c) Find the cumulative distribution function, F(x)

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