Borrowers leave the issue desk of a small library according to a Poissonprocess with rate 40 per hour. The number of books issued to aborrower has a uniform distribution with probability mass functionx=1,2,..., 6.px(x)=(a) Calculate the mean and variance of the number of books issued bythe library to a borrower.The random variable S(t) denotes the total number of books issued inthe time interval (0, t], where t is measured in hours.(b) Calculate the mean and variance of the number of books issued ina morning (9 am-12 noon).(c) Calculate the index of dispersion for the random process{S(t); t >0}, and comment on what your value tells you about thepattern of book-borrowing at the library.

(a) To calculate the mean and variance of the number of books issued by the library to a borrower,…

Answered: x)=1,2,..., 6. lculate the mean and…

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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