Problem # 9. An attempt to establish a video call via some social media app may fail with probability 0.1. If connection is established and if no connection failure occurs thereafter, then the duration of a typical video call in minutes is an exponential random variable X with E[X] = 3. However, due to an unfortunate bug in the app all calls are disconnected after 6 minutes. Let random variable Y denote the overall call duration (i.e., Y = 0 in case of failure to connect, Y = 6 when a call gets disconnected due to the bug, and YX otherwise.) Find: a) Fy(y) b) fy(y) c) E[Y] d) στ
Problem # 9. An attempt to establish a video call via some social media app may fail with probability 0.1. If connection is established and if no connection failure occurs thereafter, then the duration of a typical video call in minutes is an exponential random variable X with E[X] = 3. However, due to an unfortunate bug in the app all calls are disconnected after 6 minutes. Let random variable Y denote the overall call duration (i.e., Y = 0 in case of failure to connect, Y = 6 when a call gets disconnected due to the bug, and YX otherwise.) Find: a) Fy(y) b) fy(y) c) E[Y] d) στ
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 1E
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![Problem # 9. An attempt to establish a video call via some social media app may
fail with probability 0.1. If connection is established and if no connection failure occurs
thereafter, then the duration of a typical video call in minutes is an exponential random
variable X with E[X] = 3. However, due to an unfortunate bug in the app all calls are
disconnected after 6 minutes. Let random variable Y denote the overall call duration (i.e.,
Y = 0 in case of failure to connect, Y = 6 when a call gets disconnected due to the bug, and
YX otherwise.) Find:
a) Fy(y)
b) fy(y)
c) E[Y]
d) στ](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1d86b7f3-5570-4ce2-ade5-b05f7393fda1%2F372c5717-6141-4ebb-87c6-5d24053c87f2%2Fjp7ll4_processed.png&w=3840&q=75)
Transcribed Image Text:Problem # 9. An attempt to establish a video call via some social media app may
fail with probability 0.1. If connection is established and if no connection failure occurs
thereafter, then the duration of a typical video call in minutes is an exponential random
variable X with E[X] = 3. However, due to an unfortunate bug in the app all calls are
disconnected after 6 minutes. Let random variable Y denote the overall call duration (i.e.,
Y = 0 in case of failure to connect, Y = 6 when a call gets disconnected due to the bug, and
YX otherwise.) Find:
a) Fy(y)
b) fy(y)
c) E[Y]
d) στ
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