A telephone network substation will keep trying to connect a long-distance call to a trunk line until the fourth attempt has been made. After the fourth unsuccessful attempt, the call number goes into a buffer memory bank, and the caller gets a recorded message to be patient. During peak calling periods, the probability of a call connecting into a trunk line is 65% on each try. What is the expected number of calls that would need to be made to connect to a trunk line? Round to the nearest thousandth
A telephone network substation will keep trying to connect a long-distance call to a trunk line until the fourth attempt has been made. After the fourth unsuccessful attempt, the call number goes into a buffer memory bank, and the caller gets a recorded message to be patient. During peak calling periods, the probability of a call connecting into a trunk line is 65% on each try. What is the expected number of calls that would need to be made to connect to a trunk line? Round to the nearest thousandth
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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A telephone network substation will keep trying to connect a long-distance call to a trunk line until the fourth attempt has been made. After the fourth unsuccessful attempt, the call number goes into a buffer memory bank, and the caller gets a recorded message to be patient. During peak calling periods, the probability of a call connecting into a trunk line is 65% on each try.
What is the expected number of calls that would need to be made to connect to a trunk line? Round to the nearest thousandth.
Expert Solution
Step 1
It is given that,
p=0.65
n=4
It is a geometric distribution.
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