In a communication network, messages are received one at a time and checked for errors. It is known that 6% of messages have an error in them. Errors in one message are independent of errors in any other message. li) Find the probability that the first message that contains an error is the fifth message to be checked. (ii) Find the mean number of messages before the first that contains an error is found. (iii) Find the probability that there are no errors in the first ten messages. (iv) Find the most likely number of messages to be checked to find the first that contains an error.
In a communication network, messages are received one at a time and checked for errors. It is known that 6% of messages have an error in them. Errors in one message are independent of errors in any other message. li) Find the probability that the first message that contains an error is the fifth message to be checked. (ii) Find the mean number of messages before the first that contains an error is found. (iii) Find the probability that there are no errors in the first ten messages. (iv) Find the most likely number of messages to be checked to find the first that contains an error.
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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