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 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).
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 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).
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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