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The time, t, between calls (in seconds) on the busiest day of the month for the customer service department at a bank can be approximated by an exponential distribution with = 75. (a) Give the probability density function for this distribution. f(t) = (b) Determine the standard deviation. (c) Find the probability (not percentage) that the time between calls is no more than 53 seconds. Round your answer to four decimal places as needed. (d) Find the probability (not percentage) that the time between calls is 498 seconds or more. Round your answer to four decimal places as needed.

The time, t, between calls (in seconds) on the busiest day of the month for the customer service department at a bank can be approximated by an exponential distribution with = 75. (a) Give the probability density function for this distribution. f(t) = (b) Determine the standard deviation. (c) Find the probability (not percentage) that the time between calls is no more than 53 seconds. Round your answer to four decimal places as needed. (d) Find the probability (not percentage) that the time between calls is 498 seconds or more. Round your answer to four decimal places as needed.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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The time, t, between calls (in seconds) on the busiest day of the month for the customer service department at a bank can be approximated by an exponential distribution with μ = 75. (a) Give the probability density function for this distribution. f(t) = (b) Determine the standard deviation. (c) Find the probability (not percentage) that the time between calls is no more than 53 seconds. Round your answer to four decimal places as needed. (d) Find the probability (not percentage) that the time between calls is 498 seconds or more. Round your answer to four decimal places as needed.
Transcribed Image Text:The time, t, between calls (in seconds) on the busiest day of the month for the customer service department at a bank can be approximated by an exponential distribution with μ = 75. (a) Give the probability density function for this distribution. f(t) = (b) Determine the standard deviation. (c) Find the probability (not percentage) that the time between calls is no more than 53 seconds. Round your answer to four decimal places as needed. (d) Find the probability (not percentage) that the time between calls is 498 seconds or more. Round your answer to four decimal places as needed.
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