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Statistics / Applied Statistics and Probability for Engineers 6 / Chapter 3.9 / Problem 199SE

Applied Statistics and Probability for Engineers | 6th Edition | ISBN: 9781118539712 | Authors: Douglas C. Montgomery, George C. Runger

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Messages that arrive at a service center for an

Chapter 3, Problem 199SE

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QUESTION:

Messages that arrive at a service center for an information systems manufacturer have been classified on the basis of the number of keywords (used to help route messages) and the type of message, either e-mail or voice. Also, 70% of the messages arrive via e-mail and the rest are voice.

Determine the probability mass function of the number of keywords in a message.

Questions & Answers

QUESTION:

Messages that arrive at a service center for an information systems manufacturer have been classified on the basis of the number of keywords (used to help route messages) and the type of message, either e-mail or voice. Also, 70% of the messages arrive via e-mail and the rest are voice.

Determine the probability mass function of the number of keywords in a message.

ANSWER:

Solution :

Step 1 of 1:

We assume that,

X is the number of keywords in the message.

E is the email message and

V is the voice mail message.

Then the table is given below.

Number of keywords	0	1	2	3	4
E-mail	0.1	0.1	0.2	0.4	0.2
Voice	0.3	0.4

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